A036871 Number of partitions of n such that cn(0,5) = cn(1,5) <= cn(2,5) = cn(3,5) = cn(4,5).

0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 3, 1, 0, 0, 1, 6, 5, 0, 0, 3, 11, 15, 0, 1, 9, 20, 36, 0, 3, 20, 39, 75, 1, 9, 44, 79, 146, 3, 23, 87, 162, 272, 9, 53, 173, 326, 498, 23, 114, 330, 640, 900, 56, 236, 629, 1217, 1624, 123, 468, 1175, 2253, 2907, 263, 905, 2177, 4072, 5177, 534, 1710, 3963, 7216, 9123, 1058

Offset

1,14

Comments

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

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..76.

Partitions with restricted parts modulo 5

Crossrefs

Sequence in context: A098158 A110319 A036872 * A036876 A229038 A229143

Adjacent sequences: A036868 A036869 A036870 * A036872 A036873 A036874

Keyword

nonn

Author

Olivier Gérard

Extensions

Edited and extended by Max Alekseyev, Dec 01 2013

Status

approved