A356505 a(n) = A356500(2*n+1, 2*n) for n >= 0.

1, 6, 135, 4284, 160965, 6684744, 296679006, 13805453160, 665611197093, 32988925715610, 1671463040525586, 86231285273788180, 4516133521439246825, 239551205985729110664, 12846081444122599438850, 695428535332816056597520, 37960416340437631597631877

Offset

0,2

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).

Links

Table of n, a(n) for n=0..16.

Prog

(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+1, 2*n), ", "))

Crossrefs

Cf. A356500, A356504, A356506.

Sequence in context: A220064 A050281 A096756 * A241999 A333005 A013299

Adjacent sequences: A356502 A356503 A356504 * A356506 A356507 A356508

Keyword

nonn

Author

Paul D. Hanna, Aug 09 2022

Status

approved