A036853 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, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 3, 0, 2, 0, 1, 5, 0, 5, 0, 2, 10, 1, 9, 0, 5, 23, 2, 19, 1, 11, 53, 5, 37, 2, 23, 117, 11, 78, 5, 47, 242, 25, 159, 11, 97, 477, 51, 322, 25, 195, 904, 107, 630, 53, 387, 1663, 215, 1207, 111, 752, 2993, 428, 2246, 225, 1431, 5296, 828, 4097, 448, 2667, 9246, 1578, 7317

Offset

1,12

Comments

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

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..79.

Partitions with restricted parts modulo 5

Crossrefs

Sequence in context: A253184 A242086 A160973 * A036852 A260941 A352996

Adjacent sequences: A036850 A036851 A036852 * A036854 A036855 A036856

Keyword

nonn

Author

Olivier Gérard

Extensions

Edited and extended by Max Alekseyev, Dec 01 2013

Status

approved