A036863 Number of partitions of n such that cn(0,5) = cn(1,5) <= cn(2,5) = cn(4,5) < cn(3,5).

0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 4, 4, 2, 4, 6, 9, 10, 7, 9, 15, 21, 26, 16, 23, 37, 44, 65, 39, 50, 90, 92, 143, 94, 109, 198, 198, 299, 207, 236, 416, 411, 604, 438, 493, 845, 839, 1178, 901, 1005, 1656, 1676, 2252, 1784, 2010, 3171, 3258, 4247, 3450, 3909, 5972, 6187, 7879, 6543, 7442, 11050

Offset

1,12

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..71.

Partitions with restricted parts modulo 5

Crossrefs

Sequence in context: A309890 A229037 A361933 * A209270 A083698 A128976

Adjacent sequences: A036860 A036861 A036862 * A036864 A036865 A036866

Keyword

nonn

Author

Olivier Gérard

Extensions

Edited and extended by Max Alekseyev, Dec 01 2013

Status

approved