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A356505
a(n) = A356500(2*n+1, 2*n) for n >= 0.
3
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).
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
KEYWORD
nonn
AUTHOR
Paul D. Hanna, Aug 09 2022
STATUS
approved