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%I #17 Jun 19 2023 22:35:40
%S 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 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 29,30,31,32,33,35,38,42,47,53,60,68,77,87,98,110,123,137,152,168,185
%N Number of compositions into sums of fifth powers.
%C This sequence is different from A291168.
%H Seiichi Manyama, <a href="/A363749/b363749.txt">Table of n, a(n) for n = 0..10000</a>
%F G.f.: 1/(1 - Sum_{k>=1} x^(k^5)).
%o (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 Cf. A006456, A023358, A363748.
%Y Cf. A000584, A291168, A352530.
%K nonn
%O 0,33
%A _Seiichi Manyama_, Jun 19 2023
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