A356506 - OEIS

A356506

a(n) = A356500(3*n, n+1) for n >= 0.

1, 6, 120, 3250, 103020, 3587696, 133101836, 5167564380, 207615129579, 8567305854998, 361201849117032, 15498967122249676, 674906101555736960, 29757755664623031984, 1326196334421645347368, 59655785739373960058296, 2705420198806474232850741

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

CROSSREFS

Cf. A356500, A356504, A356505.

Sequence in context: A246611 A185757 A075844 * A354429 A029697 A248045

Adjacent sequences: A356503 A356504 A356505 * A356507 A356508 A356509

KEYWORD

nonn

AUTHOR

Paul D. Hanna, Aug 09 2022

STATUS

approved