A076735 Least k >= 2 such that k^n divides Sum_{i=1..k} i! * (k-i)!.

2, 4, 8, 8, 16, 16, 24, 24, 24, 48, 48, 48, 48, 72, 72, 72, 80, 80, 80, 90, 90, 120, 120, 120, 120, 120, 120, 144, 144, 144, 144, 144, 144, 144, 180, 180, 180, 180, 180, 180, 180, 180, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 288

Offset

0,1

Links

Table of n, a(n) for n=0..56.

Prog

(PARI) a(n) = my(k=2); while (sum(i=1, k, i!*(k-i)!) % k^n, k++); k; \\ Michel Marcus, Apr 14 2025

Crossrefs

Sequence in context: A362936 A088244 A073616 * A192097 A132720 A029930

Adjacent sequences: A076732 A076733 A076734 * A076736 A076737 A076738

Keyword

nonn

Author

Benoit Cloitre, Nov 24 2002

Extensions

Offset corrected by Sean A. Irvine, Apr 14 2025

Status

approved