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 A322856 #6 Feb 16 2025 08:33:57
%S A322856 1,1,1,1,1,1,1,1,1,2,3,4,5,6,7,8,9,10,12,15,19,24,30,37,45,54,64,76,
%T A322856 91,110,135,166,204,250,305,370,447,539,650,787,956,1164,1419,1730,
%U A322856 2107,2562,3110,3770,4569,5540,6723,8166,9926,12070,14677,17841,21675
%N A322856 Number of compositions (ordered partitions) of n into octagonal pyramidal numbers (A002414).
%H A322856 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/PyramidalNumber.html">Pyramidal Number</a>
%H A322856 <a href="/index/Com#comp">Index entries for sequences related to compositions</a>
%F A322856 G.f.: 1/(1 - Sum_{k>=1} x^(k*(k+1)*(2*k-1)/2)).
%t A322856 nmax = 56; CoefficientList[Series[1/(1 - Sum[x^(k (k + 1) (2 k - 1)/2), {k, 1, nmax}]), {x, 0, nmax}], x]
%Y A322856 Cf. A002414, A279224, A280863, A282582, A322340, A322800, A322853, A322854, A322855.
%K A322856 nonn
%O A322856 0,10
%A A322856 _Ilya Gutkovskiy_, Dec 29 2018