A368770 a(n) = (n!)^3 * Sum_{k=0..n} k/(k!)^3.

0, 1, 10, 273, 17476, 2184505, 471853086, 161845608505, 82864951554568, 60408549683280081, 60408549683280081010, 80403779628445787824321, 138937731197954321360426700, 305246195441905644028857459913, 837595560292589087215184870001286

Offset

0,3

Links

Table of n, a(n) for n=0..14.

Formula

a(0) = 0; a(n) = n^3 * a(n-1) + n.

a(n) = n * A368776(n-1) for n > 0.

Prog

(PARI) a(n) = n!^3*sum(k=0, n, k/k!^3);

Crossrefs

Cf. A368769, A368771, A368772.

Cf. A180255, A368776.

Sequence in context: A084943 A055055 A222998 * A221526 A153331 A290202

Adjacent sequences: A368767 A368768 A368769 * A368771 A368772 A368773

Keyword

nonn

Author

Seiichi Manyama, Jan 04 2024

Status

approved