A356504 a(n) = A356500(2*n, 2*n+1) for n >= 0.

1, 4, 84, 2568, 94390, 3863496, 169713208, 7836945872, 375608185758, 18527792412380, 935129979113044, 48088668037229040, 2511680568602631894, 132918633258508425944, 7113508747197660153120, 384416086900675623039520, 20951080869890118976964642

Offset: 0

Author

Paul D. Hanna, Aug 09 2022

Keywords

• nonn

Comments

Triangle A356500 describes the coefficients in G(x,y) that satisfies: y = Sum_{n=-oo..+oo} (-x)^(n^2) * G(x,y)^((n-1)^2).

Crossrefs

Cf. A356500, A356505, A356506.

Programs

PARI

{A356500(n,k) = my(A=[y],M); for(i=1,n, A = concat(A,0); M = ceil(sqrt(n+1));
A[#A] = -polcoeff( sum(m=-M,M, (-x)^(m^2)*Ser(A)^((m-1)^2)), #A-1)); polcoeff(A[n+1],k,y) }
for(n=0,20, print1( A356500(2*n, 2*n+1),", "))