A366404 G.f. A(x) satisfies A(x) = (1 + x / A(x)^(3/2)) / (1 - x).

1, 2, -1, 8, -29, 142, -707, 3714, -20106, 111570, -631046, 3624898, -21089378, 124014048, -735906537, 4401187158, -26501494072, 160532592098, -977574311830, 5981088128586, -36748815585834, 226651808352306, -1402726443269229, 8708648263017666

Offset

0,2

Links

Table of n, a(n) for n=0..23.

Formula

a(n) = (-1)^(n-1) * Sum_{k=0..n} binomial(5*k/2-1,k) * binomial(3*k/2-1,n-k) / (5*k/2-1).

Prog

(PARI) a(n) = (-1)^(n-1)*sum(k=0, n, binomial(5*k/2-1, k)*binomial(3*k/2-1, n-k)/(5*k/2-1));

Crossrefs

Cf. A366400, A366401, A366402, A366403, A366405, A366406, A366407.

Sequence in context: A052312 A110742 A252355 * A013123 A012965 A013119

Adjacent sequences: A366401 A366402 A366403 * A366405 A366406 A366407

Keyword

sign

Author

Seiichi Manyama, Oct 09 2023

Status

approved