A212114 - OEIS

%I #8 Oct 17 2012 21:47:39

%S 1,4,5,12,16,24,33,52,57,89,100,131,152,207,215,292,311,381,424,527,

%T 535,679,714,826,901,1074,1075,1304,1361,1522,1643,1881,1900,2221,

%U 2297,2517,2700,3016,3032,3478,3602,3846,4098,4513,4574,5092,5278,5568,5957,6412

%N Number of partitions of n into exactly 3 different parts with distinct multiplicities.

%H Alois P. Heinz, <a href="/A212114/b212114.txt">Table of n, a(n) for n = 10..170</a>

%e a(10) = 1: [3,2,2,1,1,1].

%e a(11) = 4: [3,2,2,1,1,1,1], [3,2,2,2,1,1], [3,3,2,1,1,1], [4,2,2,1,1,1].

%e a(12) = 5: [3,2,2,1,1,1,1,1], [3,3,2,1,1,1,1], [4,2,2,1,1,1,1], [4,2,2,2,1,1], [5,2,2,1,1,1].

%Y Column k=3 of A182485.

%K nonn

%O 10,2

%A _Alois P. Heinz_, May 01 2012