A366700 - OEIS

The OEIS is supported by the many generous donors to the OEIS Foundation.

A366700

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

1, 5, 26, 258, 3093, 40333, 558368, 8051416, 119614784, 1818190754, 28142073936, 442026009500, 7027713442496, 112879991541322, 1828959159551328, 29857735697705720, 490633308020085056, 8108894353260093213, 134705809490320133544

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,2

LINKS

Table of n, a(n) for n=0..18.

FORMULA

a(n) = Sum_{k=0..n} binomial(4*(3*k+1),n-k) * binomial(4*k,k)/(3*k+1).

PROG

(PARI) a(n) = sum(k=0, n, binomial(4*(3*k+1), n-k)*binomial(4*k, k)/(3*k+1));

CROSSREFS

Cf. A366267, A366698, A366699.

Sequence in context: A094652 A027529 A368294 * A041042 A198042 A198157

Adjacent sequences: A366697 A366698 A366699 * A366701 A366702 A366703

KEYWORD

nonn

AUTHOR

Seiichi Manyama, Oct 16 2023

STATUS

approved