A366403 G.f. A(x) satisfies A(x) = (1 + x / sqrt(A(x))) / (1 - x).

1, 2, 1, 2, 0, 4, -5, 16, -35, 92, -231, 604, -1584, 4214, -11297, 30538, -83096, 227476, -625991, 1730788, -4805594, 13393690, -37458329, 105089230, -295673993, 834086422, -2358641375, 6684761126, -18985057350, 54022715452, -154000562757, 439742222072

Offset

0,2

Links

Table of n, a(n) for n=0..31.

Formula

a(n) = (-1)^(n-1) * Sum_{k=0..n} binomial(3*k/2-1,k) * binomial(k/2-1,n-k) / (3*k/2-1).

Prog

(PARI) a(n) = (-1)^(n-1)*sum(k=0, n, binomial(3*k/2-1, k)*binomial(k/2-1, n-k)/(3*k/2-1));

Crossrefs

Cf. A366363, A366400, A366401, A366402, A366404, A366405, A366406, A366407.

Sequence in context: A174064 A139158 A308209 * A212215 A182270 A246272

Adjacent sequences: A366400 A366401 A366402 * A366404 A366405 A366406

Keyword

sign

Author

Seiichi Manyama, Oct 09 2023

Status

approved