A036868 Number of partitions of n such that cn(3,5) <= cn(0,5) = cn(1,5) < cn(2,5) = cn(4,5).

0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 3, 2, 2, 0, 0, 5, 5, 6, 2, 0, 10, 9, 17, 6, 3, 23, 19, 40, 17, 10, 56, 37, 86, 42, 31, 126, 82, 174, 96, 81, 271, 172, 347, 202, 196, 553, 365, 671, 417, 435, 1091, 747, 1287, 825, 924, 2083, 1502, 2435, 1604, 1868, 3903, 2927, 4556, 3054, 3663, 7159, 5603, 8407, 5733

Offset

1,11

Comments

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

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..74.

Partitions with restricted parts modulo 5

Crossrefs

Sequence in context: A037873 A036869 A145466 * A326453 A130116 A325774

Adjacent sequences: A036865 A036866 A036867 * A036869 A036870 A036871

Keyword

nonn

Author

Olivier Gérard

Extensions

Edited and extended by Max Alekseyev, Dec 01 2013

Status

approved