A368788 a(n) = (n+1) * (n!)^3 * Sum_{k=1..n} 1/((k+1) * (k!)^3).

0, 1, 13, 469, 37521, 5628151, 1418294053, 555971268777, 320239450815553, 259393955160597931, 285333350676657724101, 414304025182507015394653, 775577135141653132818790417, 1835015501745151312249258126623

Offset

0,3

Links

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

Formula

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

a(n) = A368775(n) - (n+1) * (n!)^3.

Prog

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

Crossrefs

Cf. A368769, A368789.

Cf. A368775.

Sequence in context: A262570 A012073 A012143 * A173403 A220560 A033983

Adjacent sequences: A368785 A368786 A368787 * A368789 A368790 A368791

Keyword

nonn

Author

Seiichi Manyama, Jan 05 2024

Status

approved