A036862 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, 2, 0, 1, 2, 1, 4, 3, 2, 4, 5, 8, 9, 6, 9, 13, 18, 24, 15, 22, 35, 36, 59, 37, 47, 85, 78, 125, 91, 101, 187, 173, 255, 201, 221, 386, 369, 508, 425, 464, 777, 764, 991, 868, 953, 1508, 1541, 1905, 1712, 1912, 2881, 3001, 3634, 3294, 3726, 5422, 5703, 6816, 6235, 7092, 10056, 10615

Offset

1,9

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..69.

Partitions with restricted parts modulo 5

Crossrefs

Sequence in context: A029276 A109248 A131866 * A285124 A094238 A127793

Adjacent sequences: A036859 A036860 A036861 * A036863 A036864 A036865

Keyword

nonn

Author

Olivier Gérard

Extensions

Edited and extended by Max Alekseyev, Dec 01 2013

Status

approved