Formula for the $n$th term of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5,

June 6, 2026

@MJD I have read the other post. My question is about the sequence and why the formula works and approaches the topic at a different angle as aposed to using the formula to extract the n. There are many similar looking but slightly different questions however I think it would be in best interest to keep this one. Thank you for your concern your effort is appreciated.

https://math.stackexchange.com/questions/455511/formula-for-the-nth-term-of-1-2-2-3-3-3-4-4-4-4-5

Formula for the $n$th term of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, <body> <h1> Array ( [0] => dormula for the $n$th term of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [1] => cormula for the $n$th term of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [2] => vormula for the $n$th term of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [3] => gormula for the $n$th term of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [4] => tormula for the $n$th term of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [5] => rormula for the $n$th term of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [6] => firmula for the $n$th term of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [7] => fkrmula for the $n$th term of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [8] => flrmula for the $n$th term of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [9] => fprmula for the $n$th term of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [10] => f0rmula for the $n$th term of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [11] => f9rmula for the $n$th term of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [12] => foemula for the $n$th term of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [13] => fodmula for the $n$th term of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [14] => fofmula for the $n$th term of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [15] => fotmula for the $n$th term of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [16] => fo5mula for the $n$th term of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [17] => fo4mula for the $n$th term of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [18] => fornula for the $n$th term of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [19] => forkula for the $n$th term of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [20] => forjula for the $n$th term of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [21] => forjula for the $n$th term of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [22] => formyla for the $n$th term of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [23] => formhla for the $n$th term of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [24] => formjla for the $n$th term of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [25] => formila for the $n$th term of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [26] => form8la for the $n$th term of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [27] => form7la for the $n$th term of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [28] => formuka for the $n$th term of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [29] => formupa for the $n$th term of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [30] => formuoa for the $n$th term of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [31] => formulz for the $n$th term of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [32] => formuls for the $n$th term of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [33] => formulw for the $n$th term of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [34] => formulq for the $n$th term of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [35] => formula dor the $n$th term of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [36] => formula cor the $n$th term of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [37] => formula vor the $n$th term of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [38] => formula gor the $n$th term of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [39] => formula tor the $n$th term of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [40] => formula ror the $n$th term of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [41] => formula fir the $n$th term of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [42] => formula fkr the $n$th term of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [43] => formula flr the $n$th term of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [44] => formula fpr the $n$th term of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [45] => formula f0r the $n$th term of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [46] => formula f9r the $n$th term of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [47] => formula foe the $n$th term of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [48] => formula fod the $n$th term of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [49] => formula fof the $n$th term of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [50] => formula fot the $n$th term of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [51] => formula fo5 the $n$th term of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [52] => formula fo4 the $n$th term of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [53] => formula for rhe $n$th term of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [54] => formula for fhe $n$th term of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [55] => formula for ghe $n$th term of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [56] => formula for yhe $n$th term of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [57] => formula for 6he $n$th term of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [58] => formula for 5he $n$th term of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [59] => formula for tge $n$th term of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [60] => formula for tbe $n$th term of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [61] => formula for tne $n$th term of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [62] => formula for tje $n$th term of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [63] => formula for tue $n$th term of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [64] => formula for tye $n$th term of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [65] => formula for thw $n$th term of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [66] => formula for ths $n$th term of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [67] => formula for thd $n$th term of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [68] => formula for thr $n$th term of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [69] => formula for th4 $n$th term of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [70] => formula for th3 $n$th term of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [71] => formula for the $b$th term of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [72] => formula for the $m$th term of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [73] => formula for the $j$th term of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [74] => formula for the $h$th term of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [75] => formula for the $h$th term of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [76] => formula for the $n$rh term of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [77] => formula for the $n$fh term of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [78] => formula for the $n$gh term of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [79] => formula for the $n$yh term of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [80] => formula for the $n$6h term of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [81] => formula for the $n$5h term of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [82] => formula for the $n$tg term of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [83] => formula for the $n$tb term of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [84] => formula for the $n$tn term of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [85] => formula for the $n$tj term of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [86] => formula for the $n$tu term of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [87] => formula for the $n$ty term of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [88] => formula for the $n$th rerm of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [89] => formula for the $n$th ferm of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [90] => formula for the $n$th germ of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [91] => formula for the $n$th yerm of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [92] => formula for the $n$th 6erm of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [93] => formula for the $n$th 5erm of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [94] => formula for the $n$th twrm of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [95] => formula for the $n$th tsrm of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [96] => formula for the $n$th tdrm of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [97] => formula for the $n$th trrm of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [98] => formula for the $n$th t4rm of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [99] => formula for the $n$th t3rm of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [100] => formula for the $n$th teem of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [101] => formula for the $n$th tedm of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [102] => formula for the $n$th tefm of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [103] => formula for the $n$th tetm of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [104] => formula for the $n$th te5m of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [105] => formula for the $n$th te4m of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [106] => formula for the $n$th tern of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [107] => formula for the $n$th terk of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [108] => formula for the $n$th terj of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [109] => formula for the $n$th terj of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [110] => formula for the $n$th term if $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [111] => formula for the $n$th term kf $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [112] => formula for the $n$th term lf $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [113] => formula for the $n$th term pf $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [114] => formula for the $n$th term 0f $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [115] => formula for the $n$th term 9f $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [116] => formula for the $n$th term od $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [117] => formula for the $n$th term oc $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [118] => formula for the $n$th term ov $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [119] => formula for the $n$th term og $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [120] => formula for the $n$th term ot $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [121] => formula for the $n$th term or $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [122] => formula for the $n$th term of $2, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [123] => formula for the $n$th term of $q, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [124] => formula for the $n$th term of $1m 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [125] => formula for the $n$th term of $1k 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [126] => formula for the $n$th term of $1l 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [127] => formula for the $n$th term of $1. 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [128] => formula for the $n$th term of $1. 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [129] => formula for the $n$th term of $1, 1, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [130] => formula for the $n$th term of $1, q, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [131] => formula for the $n$th term of $1, w, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [132] => formula for the $n$th term of $1, 3, 2, 3, 3, 3, 4, 4 ,4, 4, 5, [133] => formula for the $n$th term of $1, 2m 2, 3, 3, 3, 4, 4 ,4, 4, 5, [134] => formula for the $n$th term of $1, 2k 2, 3, 3, 3, 4, 4 ,4, 4, 5, [135] => formula for the $n$th term of $1, 2l 2, 3, 3, 3, 4, 4 ,4, 4, 5, [136] => formula for the $n$th term of $1, 2. 2, 3, 3, 3, 4, 4 ,4, 4, 5, [137] => formula for the $n$th term of $1, 2. 2, 3, 3, 3, 4, 4 ,4, 4, 5, [138] => formula for the $n$th term of $1, 2, 1, 3, 3, 3, 4, 4 ,4, 4, 5, [139] => formula for the $n$th term of $1, 2, q, 3, 3, 3, 4, 4 ,4, 4, 5, [140] => formula for the $n$th term of $1, 2, w, 3, 3, 3, 4, 4 ,4, 4, 5, [141] => formula for the $n$th term of $1, 2, 3, 3, 3, 3, 4, 4 ,4, 4, 5, [142] => formula for the $n$th term of $1, 2, 2m 3, 3, 3, 4, 4 ,4, 4, 5, [143] => formula for the $n$th term of $1, 2, 2k 3, 3, 3, 4, 4 ,4, 4, 5, [144] => formula for the $n$th term of $1, 2, 2l 3, 3, 3, 4, 4 ,4, 4, 5, [145] => formula for the $n$th term of $1, 2, 2. 3, 3, 3, 4, 4 ,4, 4, 5, [146] => formula for the $n$th term of $1, 2, 2. 3, 3, 3, 4, 4 ,4, 4, 5, [147] => formula for the $n$th term of $1, 2, 2, 2, 3, 3, 4, 4 ,4, 4, 5, [148] => formula for the $n$th term of $1, 2, 2, w, 3, 3, 4, 4 ,4, 4, 5, [149] => formula for the $n$th term of $1, 2, 2, e, 3, 3, 4, 4 ,4, 4, 5, [150] => formula for the $n$th term of $1, 2, 2, 4, 3, 3, 4, 4 ,4, 4, 5, [151] => formula for the $n$th term of $1, 2, 2, 3m 3, 3, 4, 4 ,4, 4, 5, [152] => formula for the $n$th term of $1, 2, 2, 3k 3, 3, 4, 4 ,4, 4, 5, [153] => formula for the $n$th term of $1, 2, 2, 3l 3, 3, 4, 4 ,4, 4, 5, [154] => formula for the $n$th term of $1, 2, 2, 3. 3, 3, 4, 4 ,4, 4, 5, [155] => formula for the $n$th term of $1, 2, 2, 3. 3, 3, 4, 4 ,4, 4, 5, [156] => formula for the $n$th term of $1, 2, 2, 3, 2, 3, 4, 4 ,4, 4, 5, [157] => formula for the $n$th term of $1, 2, 2, 3, w, 3, 4, 4 ,4, 4, 5, [158] => formula for the $n$th term of $1, 2, 2, 3, e, 3, 4, 4 ,4, 4, 5, [159] => formula for the $n$th term of $1, 2, 2, 3, 4, 3, 4, 4 ,4, 4, 5, [160] => formula for the $n$th term of $1, 2, 2, 3, 3m 3, 4, 4 ,4, 4, 5, [161] => formula for the $n$th term of $1, 2, 2, 3, 3k 3, 4, 4 ,4, 4, 5, [162] => formula for the $n$th term of $1, 2, 2, 3, 3l 3, 4, 4 ,4, 4, 5, [163] => formula for the $n$th term of $1, 2, 2, 3, 3. 3, 4, 4 ,4, 4, 5, [164] => formula for the $n$th term of $1, 2, 2, 3, 3. 3, 4, 4 ,4, 4, 5, [165] => formula for the $n$th term of $1, 2, 2, 3, 3, 2, 4, 4 ,4, 4, 5, [166] => formula for the $n$th term of $1, 2, 2, 3, 3, w, 4, 4 ,4, 4, 5, [167] => formula for the $n$th term of $1, 2, 2, 3, 3, e, 4, 4 ,4, 4, 5, [168] => formula for the $n$th term of $1, 2, 2, 3, 3, 4, 4, 4 ,4, 4, 5, [169] => formula for the $n$th term of $1, 2, 2, 3, 3, 3m 4, 4 ,4, 4, 5, [170] => formula for the $n$th term of $1, 2, 2, 3, 3, 3k 4, 4 ,4, 4, 5, [171] => formula for the $n$th term of $1, 2, 2, 3, 3, 3l 4, 4 ,4, 4, 5, [172] => formula for the $n$th term of $1, 2, 2, 3, 3, 3. 4, 4 ,4, 4, 5, [173] => formula for the $n$th term of $1, 2, 2, 3, 3, 3. 4, 4 ,4, 4, 5, [174] => formula for the $n$th term of $1, 2, 2, 3, 3, 3, 3, 4 ,4, 4, 5, [175] => formula for the $n$th term of $1, 2, 2, 3, 3, 3, e, 4 ,4, 4, 5, [176] => formula for the $n$th term of $1, 2, 2, 3, 3, 3, r, 4 ,4, 4, 5, [177] => formula for the $n$th term of $1, 2, 2, 3, 3, 3, 5, 4 ,4, 4, 5, [178] => formula for the $n$th term of $1, 2, 2, 3, 3, 3, 4m 4 ,4, 4, 5, [179] => formula for the $n$th term of $1, 2, 2, 3, 3, 3, 4k 4 ,4, 4, 5, [180] => formula for the $n$th term of $1, 2, 2, 3, 3, 3, 4l 4 ,4, 4, 5, [181] => formula for the $n$th term of $1, 2, 2, 3, 3, 3, 4. 4 ,4, 4, 5, [182] => formula for the $n$th term of $1, 2, 2, 3, 3, 3, 4. 4 ,4, 4, 5, [183] => formula for the $n$th term of $1, 2, 2, 3, 3, 3, 4, 3 ,4, 4, 5, [184] => formula for the $n$th term of $1, 2, 2, 3, 3, 3, 4, e ,4, 4, 5, [185] => formula for the $n$th term of $1, 2, 2, 3, 3, 3, 4, r ,4, 4, 5, [186] => formula for the $n$th term of $1, 2, 2, 3, 3, 3, 4, 5 ,4, 4, 5, [187] => formula for the $n$th term of $1, 2, 2, 3, 3, 3, 4, 4 m4, 4, 5, [188] => formula for the $n$th term of $1, 2, 2, 3, 3, 3, 4, 4 k4, 4, 5, [189] => formula for the $n$th term of $1, 2, 2, 3, 3, 3, 4, 4 l4, 4, 5, [190] => formula for the $n$th term of $1, 2, 2, 3, 3, 3, 4, 4 .4, 4, 5, [191] => formula for the $n$th term of $1, 2, 2, 3, 3, 3, 4, 4 .4, 4, 5, [192] => formula for the $n$th term of $1, 2, 2, 3, 3, 3, 4, 4 ,3, 4, 5, [193] => formula for the $n$th term of $1, 2, 2, 3, 3, 3, 4, 4 ,e, 4, 5, [194] => formula for the $n$th term of $1, 2, 2, 3, 3, 3, 4, 4 ,r, 4, 5, [195] => formula for the $n$th term of $1, 2, 2, 3, 3, 3, 4, 4 ,5, 4, 5, [196] => formula for the $n$th term of $1, 2, 2, 3, 3, 3, 4, 4 ,4m 4, 5, [197] => formula for the $n$th term of $1, 2, 2, 3, 3, 3, 4, 4 ,4k 4, 5, [198] => formula for the $n$th term of $1, 2, 2, 3, 3, 3, 4, 4 ,4l 4, 5, [199] => formula for the $n$th term of $1, 2, 2, 3, 3, 3, 4, 4 ,4. 4, 5, [200] => formula for the $n$th term of $1, 2, 2, 3, 3, 3, 4, 4 ,4. 4, 5, [201] => formula for the $n$th term of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 3, 5, [202] => formula for the $n$th term of $1, 2, 2, 3, 3, 3, 4, 4 ,4, e, 5, [203] => formula for the $n$th term of $1, 2, 2, 3, 3, 3, 4, 4 ,4, r, 5, [204] => formula for the $n$th term of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 5, 5, [205] => formula for the $n$th term of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4m 5, [206] => formula for the $n$th term of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4k 5, [207] => formula for the $n$th term of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4l 5, [208] => formula for the $n$th term of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4. 5, [209] => formula for the $n$th term of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4. 5, [210] => formula for the $n$th term of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 4, [211] => formula for the $n$th term of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, r, [212] => formula for the $n$th term of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, t, [213] => formula for the $n$th term of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 6, [214] => formula for the $n$th term of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5m [215] => formula for the $n$th term of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5k [216] => formula for the $n$th term of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5l [217] => formula for the $n$th term of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5. [218] => formula for the $n$th term of $1, 2, 2, 3, 3, 3, 4, 4 ,4, 4, 5. ) </h1> </body>