A114311 a(n) = n! - n(n-1)/2.

1, 1, 1, 3, 18, 110, 705, 5019, 40292, 362844, 3628755, 39916745, 479001534, 6227020722, 87178291109, 1307674367895, 20922789887880, 355687428095864, 6402373705727847, 121645100408831829, 2432902008176639810, 51090942171709439790, 1124000727777607679769

Offset

0,4

Comments

Largest term in the factor partition of A114310(n).

Links

Table of n, a(n) for n=0..22.

Example

a(6) = 705*A114310(6) = 84600 = 1*2*3*4*5*705.

Maple

a:=n->sum((n!)-j, j=0..n):a(-1):=1: seq(a(n), n=-1..21); # Zerinvary Lajos, May 26 2008

Mathematica

Table[n!-n(n-1)/2, {n, 0, 30}] (* Harvey P. Dale, Aug 27 2013 *)

Crossrefs

Cf. A114310.

Sequence in context: A037767 A037655 A074571 * A134092 A000274 A207321

Adjacent sequences: A114308 A114309 A114310 * A114312 A114313 A114314

Keyword

nonn

Author

Amarnath Murthy, Nov 26 2005

Status

approved