A087181 - OEIS

%I #7 Feb 23 2013 04:03:52

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

%T 10,10,11,12,12,12,12,12,12,12,13,14,14,14,14,14,15,15,15,15,16,17,17,

%U 17,17,18,18,18,19,19,20,20,20,20,20,20,20,20,21,22,22,22,22,23,23,23

%N Number partition numbers <= P(n) of the form 3*k+1 (P=A000041).

%C A087180(n) + a(n) + A087182(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. A087184, A068907, A087177, A071754.

%K nonn

%O 0,2

%A _Reinhard Zumkeller_, Aug 23 2003