cp's OEIS Frontend

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.

A384579 G.f. A(x) satisfies A(x) = ( 1 + x * A(x*A(x))^(1/5) )^5.

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%I A384579 #10 Jun 04 2025 09:54:04
%S A384579 1,5,15,60,320,2151,17985,176610,1985755,25116455,351852746,
%T A384579 5393800690,89651625560,1603780929525,30688985052200,624900202917151,
%U A384579 13480450499067220,306905745410816990,7349620218635161140,184589745041317074895,4849519725067777296866
%N A384579 G.f. A(x) satisfies A(x) = ( 1 + x * A(x*A(x))^(1/5) )^5.
%F A384579 See A384583.
%F A384579 G.f.: B(x)^5, where B(x) is the g.f. of A384575.
%o A384579 (PARI) a(n, k=5) = if(k==0, 0^n, k*sum(j=0, n, binomial(5*n-5*j+k, j)/(5*n-5*j+k)*a(n-j, j)));
%Y A384579 Column k=5 of A384583.
%Y A384579 Cf. A384575.
%K A384579 nonn
%O A384579 0,2
%A A384579 _Seiichi Manyama_, Jun 04 2025