

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.


0



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
(list;
graph;
refs;
listen;
history;
text;
internal format)



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: A265822 A257012 A265562 * A088887 A265546 A066911
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



