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A036892 Number of partitions of 5n such that cn(1,5) = cn(4,5) < cn(0,5) = cn(2,5) = cn(3,5). 7

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

%S 0,1,3,7,14,30,62,133,275,562,1109,2145,4035,7457,13509,24115,42405,

%T 73667,126420,214681,360778,600625,990756,1620449,2628504,4230770,

%U 6758916,10721739,16892541,26443435,41137558,63618639,97825383,149605621,227593695

%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) = A036891(n) - A036895(n)

%F a(n) = A036890(n) - A036894(n)

%F a(n) = A036889(n) - A046776(n)

%K nonn

%O 1,3

%A _Olivier GĂ©rard_

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

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Last modified May 3 13:38 EDT 2024. Contains 372212 sequences. (Running on oeis4.)