A036889 - OEIS

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A036889

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

0, 1, 4, 12, 29, 66, 137, 279, 546, 1057, 2000, 3746, 6886, 12508, 22360, 39477, 68736, 118309, 201207, 338672, 564211, 931342, 1523628, 2472228, 3979651, 6359094, 10088975, 15899507, 24894711, 38740189, 59929503, 92185390, 141029958, 214628608

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OFFSET

1,3

COMMENTS

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

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

LINKS

Table of n, a(n) for n=1..34.

Index and properties of sequences related to partitions of 5n

FORMULA

a(n) = A036882(n) - A036887(n)

a(n) = A036881(n) - A036885(n)