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Number of partitions satisfying cn(2,5) + cn(3,5) <= cn(0,5) + cn(1,5) and cn(2,5) + cn(3,5) <= cn(0,5) + cn(4,5).
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%I #6 Mar 30 2012 17:20:56

%S 1,1,1,2,3,4,6,9,11,14,18,28,37,46,57,75,99,127,158,199,251,316,391,

%T 492,609,753,915,1123,1386,1698,2062,2484,3001,3654,4409,5311,6329,

%U 7575,9087,10860,12938,15331,18177,21587,25528

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

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

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

%K nonn

%O 1,4

%A _Olivier GĂ©rard_