A163744 Smallest positive m such that A050410(m) = 0 (mod n!).

1, 1, 3, 4, 23, 23, 608, 3703, 59063, 65975, 65975, 65975, 3227648, 83180983, 591720448, 1809747968, 144465133568, 249810649088, 16834084302263, 73241359679488, 1462875427401143, 83438885890162688, 83438885890162688, 614584301826080768, 21227975237388955063

Offset

0,3

Comments

Smallest positive m such that m-th truncated square pyramid number tsp(m)=m*(7*m-1)*(2*m-1)/6 is divisible by n!, n = 0, 1, ... .

Links

Table of n, a(n) for n=0..24.

Formula

a(n) <= (n+3)!. - Michael S. Branicky, Jun 04 2026

Example

a(3) =   3 because   tsp(3) =       126 is divisible by 3!: 126/3! = 21.
a(5) =  23 because  tsp(23) =     27600 is divisible by 5!: 27600/5! = 230.
a(6) = 608 because tsp(608) = 523875600 is divisible by 6!: 523875600/6! = 727605.

Crossrefs

Cf. A050410.

Sequence in context: A375958 A316192 A122660 * A221643 A042595 A002351

Adjacent sequences: A163741 A163742 A163743 * A163745 A163746 A163747

Keyword

nonn,changed

Author

Zak Seidov, Aug 03 2009

Extensions

Offset corrected and a(14)-a(16) from Michael S. Branicky, Jun 03 2026

a(17)-a(24) from David A. Corneth, Jun 04 2026

Status

approved