This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A372281 #20 Apr 26 2024 03:48:18 %S A372281 1,2,3,4,5,6,7,8,9,17,18,19,27,28,29,37,38,39,47,48,49,57,58,59,67,68, %T A372281 69,77,78,79,87,88,89,97,98,99,187,188,189,197,198,199,287,288,289, %U A372281 297,298,299,387,388,389,397,398,399,487,488,489,497,498,499,587 %N A372281 Numbers written in base of triangular numbers where the trailing digits are made as high as possible. %C A372281 This sequence differs from A000462 whose leading digits are made as high as possible. %e A372281 The digits (from right to left) have values 1, 3, 6, 10, etc. (A000217), hence a(61) = 587 because 61 = 5*6 + 8*3 + 7*1. %t A372281 A000217[n_]:=n(n+1)/2; a[n_]:=Module[{s=0}, num=n; digits={}; s=Ceiling[Root[9(#1^3+3#1^2+2#1)-6num &, 1]]; While[s>0, AppendTo[digits, d=Ceiling[(num-9(s-1)^2)/A000217[s]]]; num-=d*A000217[s]; s--]; FromDigits[digits]]; Array[a,61] %Y A372281 Cf. A000217, A000462. %Y A372281 9*A000292(n) gives the number of terms with at most n digits. %K A372281 nonn,base,easy %O A372281 1,2 %A A372281 _Stefano Spezia_, Apr 25 2024