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Number of partitions of n into exactly 5 different parts with distinct multiplicities.
1

%I #5 May 03 2012 08:08:01

%S 1,6,12,24,48,68,108,168,232,318,458,588,781,1043,1298,1663,2147,2603,

%T 3216,4039,4814,5822,7103,8356,9936,11902,13784,16160,19082,21841,

%U 25301,29399,33450,38226,44084,49543,56381,64047,71870,80596,91459,101249,113545

%N Number of partitions of n into exactly 5 different parts with distinct multiplicities.

%e a(35) = 1: [5,4,4,3,3,3,2,2,2,2,1,1,1,1,1].

%e a(36) = 6: [5,4,4,3,3,3,2,2,2,2,1,1,1,1,1,1], [5,4,4,3,3,3,2,2,2,2,2,1,1,1,1], [5,4,4,3,3,3,3,2,2,2,1,1,1,1,1], [5,4,4,4,3,3,2,2,2,2,1,1,1,1,1], [5,5,4,3,3,3,2,2,2,2,1,1,1,1,1], [6,4,4,3,3,3,2,2,2,2,1,1,1,1,1].

%Y Column k=5 of A182485.

%K nonn

%O 35,2

%A _Alois P. Heinz_, May 01 2012