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

%I #10 Dec 01 2013 23:18:46

%S 0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,3,0,1,1,0,8,0,3,3,1,18,1,8,9,3,

%T 38,4,20,23,9,77,12,44,54,23,156,32,94,117,55,312,78,194,246,123,616,

%U 175,392,497,266,1199,379,775,982,553,2291,784,1509,1897,1121,4300,1576,2881,3600,2214,7928,3082,5415

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

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

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

%H <a href="http://oeis.org/wiki/Partitions_with_restricted_parts_modulo_5">Partitions with restricted parts modulo 5</a>

%K nonn

%O 1,20

%A _Olivier GĂ©rard_

%E Edited and extended by _Max Alekseyev_, Dec 01 2013