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Number of partitions of 5n such that cn(1,5) = cn(4,5) = cn(2,5) = cn(3,5) <= cn(0,5).
5

%I #7 Mar 30 2012 17:27:07

%S 1,2,4,11,28,69,153,323,647,1258,2380,4427,8092,14601,25991,45724,

%T 79469,136604,232235,390806,651132,1074863,1758595,2853386,4592952,

%U 7337821,11639376,18337780,28704122,44653849,69055688,106188925,162402533

%N Number of partitions of 5n such that cn(1,5) = cn(4,5) = cn(2,5) = cn(3,5) <= cn(0,5).

%C For a given partition, cn(i,n) means the number of its parts equal to i modulo n.

%H <a href="/wiki/Partitions_of_5n">Index and properties of sequences related to partitions of 5n</a>

%F a(n) = A046776(n) + A202086(n)

%F a(n) = A036882(n) - A036891(n)

%K nonn

%O 1,2

%A _Max Alekseyev_, Dec 11 2011