A366435 G.f. A(x) satisfies A(x) = 1 + x * ((1 - x) / A(x))^(5/2).

1, 1, -5, 25, -160, 1150, -8851, 71345, -594530, 5080300, -44272760, 391961328, -3515490820, 31874449160, -291676084205, 2690284784605, -24985250240043, 233447554879855, -2192862233710505, 20696454624488125, -196168344717398010, 1866499116495323946

Offset

0,3

Links

Table of n, a(n) for n=0..21.

Formula

a(n) = (-1)^(n-1) * Sum_{k=0..n} binomial(7*k/2-1,k) * binomial(5*k/2,n-k) / (7*k/2-1).

Prog

(PARI) a(n) = (-1)^(n-1)*sum(k=0, n, binomial(7*k/2-1, k)*binomial(5*k/2, n-k)/(7*k/2-1));

Crossrefs

Partial sums give A366405.

Cf. A366431, A366432, A366433, A366434, A366436, A366437.

Sequence in context: A085644 A356599 A137963 * A144887 A181344 A361916

Adjacent sequences: A366432 A366433 A366434 * A366436 A366437 A366438

Keyword

sign

Author

Seiichi Manyama, Oct 09 2023

Status

approved