A364373 G.f. satisfies A(x) = (1 + x) * (1 - x*A(x)^4).

1, 0, -1, 4, -12, 26, -14, -236, 1604, -6577, 17827, -14064, -186496, 1437856, -6416576, 18733256, -17358808, -201270728, 1652571996, -7692333934, 23375782030, -23913813710, -250917362258, 2147925544190, -10270145045142, 32053993413694, -35259817590134

Offset

0,4

Links

Table of n, a(n) for n=0..26.

Formula

a(n) = Sum_{k=0..n} (-1)^k * binomial(4*k+1,k) * binomial(4*k+1,n-k) / (4*k+1).

Prog

(PARI) a(n) = sum(k=0, n, (-1)^k*binomial(4*k+1, k)*binomial(4*k+1, n-k)/(4*k+1));

Crossrefs

Cf. A364371, A364372.

Cf. A364337.

Sequence in context: A246988 A304843 A062883 * A008176 A009903 A008048

Adjacent sequences: A364370 A364371 A364372 * A364374 A364375 A364376

Keyword

sign

Author

Seiichi Manyama, Jul 20 2023

Status

approved