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

1,2

Links

Table of n, a(n) for n=1..59.

Prog

(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

Crossrefs

Cf. A088880, A088887.

Sequence in context: A257012 A325412 A265562 * A088887 A368085 A265546

Adjacent sequences: A140309 A140310 A140311 * A140313 A140314 A140315

Keyword

nonn

Author

Vladeta Jovovic, May 25 2008

Extensions

More terms from Max Alekseyev, Aug 17 2013

Status

approved