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 A322853 #6 Feb 16 2025 08:33:57
%S A322853 1,1,1,1,1,1,2,3,4,5,6,7,9,12,16,21,27,34,44,57,74,96,124,159,205,265,
%T A322853 343,444,574,740,954,1231,1590,2055,2656,3430,4428,5716,7380,9531,
%U A322853 12312,15902,20536,26518,34242,44218,57106,73751,95245,122999,158837,205117
%N A322853 Number of compositions (ordered partitions) of n into pentagonal pyramidal numbers (A002411).
%H A322853 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/PentagonalPyramidalNumber.html">Pentagonal Pyramidal Number</a>
%H A322853 <a href="/index/Com#comp">Index entries for sequences related to compositions</a>
%F A322853 G.f.: 1/(1 - Sum_{k>=1} x^(k^2*(k+1)/2)).
%t A322853 nmax = 51; CoefficientList[Series[1/(1 - Sum[x^(k^2 (k + 1)/2), {k, 1, nmax}]), {x, 0, nmax}], x]
%Y A322853 Cf. A002411, A181324, A279221, A282582, A322340, A322801, A322854, A322855, A322856.
%K A322853 nonn
%O A322853 0,7
%A A322853 _Ilya Gutkovskiy_, Dec 29 2018