A036885 - OEIS

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

%S 1,3,7,17,40,94,212,464,980,2010,4011,7820,14927,27968,51519,93450,

%T 167106,294902,514054,885804,1509945,2547768,4257734,7050954,11576404,

%U 18851628,30461253,48857762,77813497,123097971,193485805,302251865,469376012

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

%C Alternatively, number of partitions of 5n such that cn(2,5) = cn(3,5) <= cn(0,5) < 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) = A036881(n) - A036889(n)

%F a(n) = A036886(n) + A036894(n)

%K nonn

%O 1,2

%A _Olivier Gérard_

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