A036891 Number of partitions of 5n such that cn(1,5) = cn(4,5) < cn(2,5) = cn(3,5) <= cn(0,5).

0, 1, 4, 11, 26, 59, 129, 279, 588, 1216, 2451, 4836, 9326, 17641, 32746, 59795, 107507, 190634, 333661, 577104, 987043, 1670725, 2800269, 4650351, 7655282, 12497879, 20243241, 32543510, 51944000, 82345113, 129687646, 202974550, 315774972

Offset

1,3

Comments

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

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) = A036892(n) + A036895(n)

a(n) = A036882(n) - A202085(n)

Crossrefs

Sequence in context: A000295 A125128 A034334 * A373358 A183276 A340567

Adjacent sequences: A036888 A036889 A036890 * A036892 A036893 A036894

Keyword

nonn

Author

Olivier Gérard

Extensions

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

Status

approved