A114310 (n-1)!*(n!-n*(n-1)/2).

1, 1, 6, 108, 2640, 84600, 3613680, 203071680, 14629870080, 1316802614400, 144849884256000, 19120208432371200, 2982752889071155200, 542861032044198067200, 114000816839126241024000, 27360196043430269859840000, 7441973323852870393823232000, 2277243837099794643157389312000

Offset

1,3

Comments

Least product of n distinct numbers whose sum is n!.

Links

Table of n, a(n) for n=1..18.

Example

a(6) = 84600 = 1*2*3*4*5*705, the sum 1+2+3+4+5+705 = 720 = 6!.

Mathematica

Table[(n-1)!(n!-(n(n-1))/2), {n, 20}] (* Harvey P. Dale, May 15 2021 *)

Crossrefs

Cf. A114311.

Sequence in context: A369532 A288148 A010563 * A221954 A167484 A011555

Adjacent sequences: A114307 A114308 A114309 * A114311 A114312 A114313

Keyword

nonn

Author

Amarnath Murthy, Nov 26 2005

Status

approved