A176037 a(n) = n!*(n+1)!*(n+2)!.

2, 12, 288, 17280, 2073600, 435456000, 146313216000, 73741860864000, 53094139822080000, 52563198423859200000, 69383421919494144000000, 119061952013851951104000000, 260031303198252661211136000000, 709885457731229765106401280000000, 2385215137976932010757508300800000000

Offset

0,1

Links

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

Formula

a(n) = A000142(n)*A000142(n+1)*A000142(n+2) = A010790(n)*A000142(n+2).

a(n) = 2*A090443(n). - Pontus von Brömssen, Jun 14 2024

Example

a(2) = (2)!*(2+1)!*(2+2)! = (2)!*(3)!*(4)! = 2*6*24 = 288.

Mathematica

Times@@@Partition[Range[0, 15]!, 3, 1] (* Harvey P. Dale, Aug 29 2012 *)

Crossrefs

Cf. A000142, A010790, A090443.

Sequence in context: A083568 A003121 A211937 * A057170 A200564 A008338

Adjacent sequences: A176034 A176035 A176036 * A176038 A176039 A176040

Keyword

easy,nonn

Author

Jonathan Vos Post, Apr 07 2010

Status

approved