A036888 - OEIS

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

%S 0,1,5,16,43,106,247,554,1199,2520,5147,10256,19964,38071,71226,

%T 130996,237132,423118,744903,1295274,2226315,3785452,6371304,10621516,

%U 17547538,28743111,46701014,75296105,120512148,191536534,302392119,474368206

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

%C Alternatively, number of partitions of 5n such that cn(0,5) < cn(2,5) = cn(3,5) <= cn(1,5) = cn(4,5).

%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) = A202088(n) + A036893(n)

%F a(n) = A036880(n) - A036884(n)

%K nonn

%O 1,3

%A _Olivier Gérard_

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