A366407 G.f. A(x) satisfies A(x) = (1 + x / A(x)^(9/2)) / (1 - x).

1, 2, -7, 74, -820, 10196, -134785, 1860668, -26508457, 386843804, -5753126477, 86878155652, -1328593620692, 20533664196478, -320220157730975, 5032648114664896, -79629405527982623, 1267425784159379572, -20279086501234998596, 325989622456860054852

Offset

0,2

Links

Table of n, a(n) for n=0..19.

Formula

a(n) = (-1)^(n-1) * Sum_{k=0..n} binomial(11*k/2-1,k) * binomial(9*k/2-1,n-k) / (11*k/2-1).

Prog

(PARI) a(n) = (-1)^(n-1)*sum(k=0, n, binomial(11*k/2-1, k)*binomial(9*k/2-1, n-k)/(11*k/2-1));

Crossrefs

Cf. A366400, A366401, A366402, A366403, A366404, A366405, A366406.

Sequence in context: A319621 A167526 A064646 * A144905 A349500 A266880

Adjacent sequences: A366404 A366405 A366406 * A366408 A366409 A366410

Keyword

sign

Author

Seiichi Manyama, Oct 09 2023

Status

approved