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

Author

Seiichi Manyama, Oct 09 2023

Keywords

• sign

Crossrefs

Partial sums give A366405.

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

Programs

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));

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).