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 A371544 #9 Mar 27 2024 08:53:35
%S A371544 1,5,30,220,1775,15206,135745,1248900,11758240,112736305,1096960024,
%T A371544 10804727805,107520029780,1079346767060,10917110317185,
%U A371544 111149886462926,1138205538056395,11715403351807780,121137702435412040,1257720947476195045,13106870738511517659
%N A371544 G.f. A(x) satisfies A(x) = (1 + x*A(x) / (1+x))^5.
%F A371544 a(n) = Sum_{k=0..n} (-1)^(n-k) * binomial(n-1,n-k) * binomial(5*k+5,k)/(k+1).
%F A371544 G.f.: A(x) = B(x)^5 where B(x) is the g.f. of A349361.
%o A371544 (PARI) a(n) = sum(k=0, n, (-1)^(n-k)*binomial(n-1, n-k)*binomial(5*k+5, k)/(k+1));
%Y A371544 Cf. A349361, A371496.
%Y A371544 Cf. A371520.
%K A371544 nonn
%O A371544 0,2
%A A371544 _Seiichi Manyama_, Mar 26 2024