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

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)

a(n) = A036881(n) - A036890(n)

Crossrefs

Sequence in context: A305652 A356938 A208771 * A102291 A034691 A317546

Adjacent sequences: A036881 A036882 A036883 * A036885 A036886 A036887

Keyword

nonn

Author

Olivier Gérard

Extensions

Terms a(10) onward from Max Alekseyev, Dec 10 2011

Status

approved