A368789 a(n) = (n+1)^2 * (n!)^3 * Sum_{k=1..n} 1/((k+1)^2 * (k!)^3).

0, 1, 19, 913, 91301, 16434181, 4831649215, 2164578848321, 1402647093712009, 1262382384340808101, 1527482685052377802211, 2419532573122966438702225, 4906812058293375937688112301, 12502557124531521889229310142949

Offset

0,3

Links

Table of n, a(n) for n=0..13.

Formula

a(0) = 0; a(n) = (n+1)^2 * n * a(n-1) + 1.

a(n) = A368776(n) - (n+1)^2 * (n!)^3.

Prog

(PARI) a(n) = (n+1)^2*n!^3*sum(k=1, n, 1/((k+1)^2*k!^3));

Crossrefs

Cf. A368769, A368788.

Cf. A368776.

Sequence in context: A183473 A217826 A209353 * A005535 A171226 A247279

Adjacent sequences: A368786 A368787 A368788 * A368790 A368791 A368792

Keyword

nonn

Author

Seiichi Manyama, Jan 05 2024

Status

approved