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Number of partitions satisfying cn(1,5) <= cn(0,5) + cn(2,5) and cn(1,5) <= cn(0,5) + cn(3,5) and cn(4,5) <= cn(0,5) + cn(2,5) and cn(4,5) <= cn(0,5) + cn(3,5).
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%I #6 Mar 30 2012 17:20:57

%S 0,1,1,1,2,4,3,6,8,11,16,21,24,37,46,62,78,101,126,166,208,266,326,

%T 414,508,640,793,978,1191,1473,1787,2211,2672,3236,3906,4736,5716,

%U 6902,8229,9861,11778,14137,16821,19976,23637

%N Number of partitions satisfying cn(1,5) <= cn(0,5) + cn(2,5) and cn(1,5) <= cn(0,5) + cn(3,5) and cn(4,5) <= cn(0,5) + cn(2,5) and cn(4,5) <= cn(0,5) + cn(3,5).

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

%C Short: 1 <= 0 + 2 and 1 <= 0 + 3 and 4 <= 0 + 2 and 4 <= 0 + 3 (AAZBB).

%K nonn

%O 1,5

%A _Olivier GĂ©rard_