A140312 Number of distinct values of Product_{p is in P} (m(p,P)+1) where m(p,P) is the multiplicity of part p in partition P, when P ranges over all partitions of n.

1, 2, 3, 5, 5, 10, 10, 16, 18, 24, 27, 41, 42, 54, 63, 82, 88, 114, 123, 153, 168, 205, 224, 278, 296, 356, 388, 462, 497, 587, 634, 746, 795, 934, 987, 1159, 1241, 1427, 1521, 1750, 1862, 2120, 2270, 2578, 2726, 3108, 3291, 3723, 3937, 4425, 4686, 5278, 5569, 6208, 6552, 7328, 7720, 8609, 9072

Offset: 1

Author

Vladeta Jovovic, May 25 2008

Keywords

• nonn

Crossrefs

Cf. A088880, A088887.

Programs

PARI

a(n)=my(v=List());forpart(P=n,listput(v,prod(i=1,#P, sum(j=1,#P, P[j]==P[i])+1))); #vecsort(Vec(v),,8) \\ Charles R Greathouse IV, Jun 18 2013

Extensions

More terms from Max Alekseyev, Aug 17 2013