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

2,5

Comments

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

Links

Table of n, a(n) for n=2..37.

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

Example

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.

Crossrefs

Cf. A085288, A085290, A085291.

Sequence in context: A143195 A192799 A181354 * A095339 A216025 A209476

Adjacent sequences: A085286 A085287 A085288 * A085290 A085291 A085292

Keyword

nonn

Author

Eric W. Weisstein, Jun 23 2003

Extensions

More terms from David Wasserman, Jan 31 2005

Status

approved