A036884 - OEIS

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A036884

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

1, 3, 7, 18, 42, 97, 207, 431, 861, 1685, 3216, 6042, 11139, 20248, 36245, 64041, 111663, 192432, 327803, 552593, 922129, 1524496, 2497868, 4058745, 6542497, 10467325, 16626651, 26231148, 41114412, 64042922, 99164091, 152671363, 233762167

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OFFSET

1,2

COMMENTS

Alternatively, number of partitions of 5n such that cn(0,5) = cn(2,5) = cn(3,5) <= 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..33.

Index and properties of sequences related to partitions of 5n

FORMULA

a(n) = A036880(n) - A036888(n)

a(n) = A046776(n) + A036886(n)