A140312 - OEIS

%I #7 Aug 17 2013 20:15:59

%S 1,2,3,5,5,10,10,16,18,24,27,41,42,54,63,82,88,114,123,153,168,205,

%T 224,278,296,356,388,462,497,587,634,746,795,934,987,1159,1241,1427,

%U 1521,1750,1862,2120,2270,2578,2726,3108,3291,3723,3937,4425,4686,5278,5569,6208,6552,7328,7720,8609,9072

%N 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.

%o (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

%Y Cf. A088880, A088887.

%K nonn

%O 1,2

%A _Vladeta Jovovic_, May 25 2008

%E More terms from _Max Alekseyev_, Aug 17 2013