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A036893 Number of partitions of 5n such that cn(0,5) < cn(1,5) = cn(4,5) < cn(2,5) = cn(3,5). 5

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

%S 0,0,1,5,18,51,131,309,694,1494,3117,6320,12514,24234,46016,85790,

%T 157301,283982,505432,887692,1539969,2640920,4480467,7524824,12518126,

%U 20638663,33739438,54713975,88052156,140676765,223199915,351795463,550981974

%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) = A036888(n) - A202088(n)

%F a(n) = A036883(n) - A036886(n)

%K nonn

%O 1,4

%A _Olivier GĂ©rard_

%E Terms a(10) onward from _Max Alekseyev_, Dec 11 2011

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Last modified April 23 23:26 EDT 2024. Contains 371917 sequences. (Running on oeis4.)