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 A363749 #17 Jun 19 2023 22:35:40 %S A363749 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3, %T A363749 4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28, %U A363749 29,30,31,32,33,35,38,42,47,53,60,68,77,87,98,110,123,137,152,168,185 %N A363749 Number of compositions into sums of fifth powers. %C A363749 This sequence is different from A291168. %H A363749 Seiichi Manyama, <a href="/A363749/b363749.txt">Table of n, a(n) for n = 0..10000</a> %F A363749 G.f.: 1/(1 - Sum_{k>=1} x^(k^5)). %o A363749 (PARI) a_vector(n) = my(v=vector(n+1)); v[1]=1; for(i=1, n, v[i+1]=sum(j=1, i, ispower(j, 5)*v[i-j+1])); v; %Y A363749 Cf. A006456, A023358, A363748. %Y A363749 Cf. A000584, A291168, A352530. %K A363749 nonn %O A363749 0,33 %A A363749 _Seiichi Manyama_, Jun 19 2023