A025562 a(n) = n!/LCM{1, C(n-1,1), C(n-2,2), ..., C(n-[ n/2 ],[ n/2 ])}.

1, 1, 2, 3, 8, 10, 24, 84, 192, 432, 2880, 15840, 34560, 224640, 483840, 3628800, 116121600, 493516800, 1045094400, 9928396800, 20901888000, 219469824000, 9656672256000, 111051730944000, 231760134144000, 2897001676800000, 30128817438720000, 406739035422720000

Offset: 0

Author

Clark Kimberling

Keywords

• nonn

Links

• Robert Israel, Table of n, a(n) for n = 0..533

Crossrefs

Cf. A025560.

Programs

Maple

f:=n->n!/ilcm(seq(binomial(n-i,i),i=0..floor(n/2))):
seq(f(n), n=0..35);

Extensions

Entry revised by N. J. A. Sloane, May 26 2005

a(0)=1 prepended by Alois P. Heinz, Nov 27 2023