A036887 - OEIS

%I #10 Mar 30 2012 17:26:42

%S 1,2,4,10,25,62,145,323,689,1417,2831,5517,10532,19734,36377,66042,

%T 118240,208929,364689,629238,1073964,1814246,3035236,5031509,8268583,

%U 13476606,21793642,34981783,55753411,88258773,138813831,216978085,337147547

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

%C Alternatively, number of partitions of 5n such that cn(2,5) = cn(3,5) <= cn(1,5) = cn(4,5) < 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) = A036882(n) - A036889(n)

%F a(n) = A202086(n) + A036895(n)

%K nonn

%O 1,2

%A _Olivier Gérard_

%E Terms a(10) onward from _Max Alekseyev_, Dec 10 2011