A212115 - OEIS

%I #5 May 03 2012 08:07:52

%S 1,5,8,17,29,41,59,95,120,170,224,297,367,491,583,764,904,1118,1306,

%T 1631,1863,2269,2576,3099,3479,4179,4583,5456,6029,7041,7693,8978,

%U 9745,11274,12174,14037,15074,17202,18383,20978,22404,25276,26825,30271,32092,36051

%N Number of partitions of n into exactly 4 different parts with distinct multiplicities.

%e a(20) = 1: [4,3,3,2,2,2,1,1,1,1].

%e a(21) = 5: [4,3,3,2,2,2,1,1,1,1,1], [4,3,3,2,2,2,2,1,1,1], [4,3,3,3,2,2,1,1,1,1], [4,4,3,2,2,2,1,1,1,1], [5,3,3,2,2,2,1,1,1,1].

%e a(22) = 8: [4,3,3,2,2,2,1,1,1,1,1,1], [4,3,3,3,2,2,1,1,1,1,1], [4,4,3,2,2,2,1,1,1,1,1], [4,4,3,2,2,2,2,1,1,1], [5,3,3,2,2,2,1,1,1,1,1], [5,3,3,2,2,2,2,1,1,1], [5,3,3,3,2,2,1,1,1,1], [6,3,3,2,2,2,1,1,1,1].

%Y Column k=4 of A182485.

%K nonn

%O 20,2

%A _Alois P. Heinz_, May 01 2012