A085289 Number of sorted multiplicative partitions of n! of length n.

0, 0, 1, 1, 2, 2, 5, 12, 31, 31, 78, 78, 191, 418, 1220, 1220, 3015, 3015, 7889, 15413, 37012, 37012, 100559, 211426, 501520, 1157544, 2880550, 2880550, 6307387, 6307387, 17134912, 32298263, 75200323, 148928952, 359182792, 359182792

Offset: 2

Author

Eric W. Weisstein, Jun 23 2003

Keywords

• nonn

Comments

If p is prime then a(p) = a(p-1). - David Wasserman, Jan 31 2005

Examples

			4! = 2*2*2*3, so a(4)=1.
6! = 2*2*2*2*5*9 = 2*2*3*3*4*5, so a(6)=2.
		

Links

• Eric Weisstein's World of Mathematics, Alladi-Grinstead Constant

Crossrefs

Cf. A085288, A085290, A085291.

Extensions

More terms from David Wasserman, Jan 31 2005