A087182 - OEIS

%I #7 Feb 23 2013 04:03:36

%S 0,0,1,1,2,2,3,3,3,3,3,4,5,6,6,7,7,7,7,7,7,7,7,7,7,8,8,8,8,9,9,10,10,

%T 10,10,10,10,10,11,11,11,11,12,12,12,12,12,13,13,14,14,14,14,14,14,14,

%U 15,15,16,16,17,17,17,17,17,18,19,20,20,21,21,21,21,21,22,22,23,23,24

%N Number partition numbers <= P(n) of the form 3*k+2 (P=A000041).

%C A087180(n) + A087181(n) + a(n) = n + 1.

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/PartitionFunction.html">Partition Function</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/PartitionFunctionPCongruences.html">Partition Function P Congruences</a>

%Y Cf. A087185, A068907, A087177, A071754.

%K nonn

%O 0,5

%A _Reinhard Zumkeller_, Aug 23 2003