A036854 Number of partitions of n such that cn(0,5) = cn(2,5) < cn(3,5) = cn(4,5) <= cn(1,5).

0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 4, 4, 4, 5, 5, 11, 12, 12, 15, 15, 26, 30, 31, 40, 40, 60, 70, 73, 94, 96, 135, 157, 164, 211, 218, 298, 344, 359, 453, 474, 640, 733, 763, 950, 1000, 1339, 1525, 1584, 1942, 2055, 2724, 3093, 3211, 3894, 4128, 5410, 6127, 6363, 7642, 8116, 10500, 11874, 12341, 14718

Offset

1,13

Comments

Also, number of partitions of n such that cn(3,5) = cn(4,5) < cn(0,5) = cn(2,5) <= 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..66.

Partitions with restricted parts modulo 5

Crossrefs

Sequence in context: A134992 A073260 A350459 * A036858 A131957 A342348

Adjacent sequences: A036851 A036852 A036853 * A036855 A036856 A036857

Keyword

nonn

Author

Olivier Gérard

Extensions

Edited and extended by Max Alekseyev, Dec 01 2013

Status

approved