A036864 Number of partitions of n such that cn(0,5) = cn(1,5) <= cn(3,5) <= cn(2,5) = cn(4,5).

0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 3, 2, 3, 2, 2, 6, 8, 6, 5, 5, 13, 23, 13, 11, 14, 25, 55, 31, 25, 33, 53, 115, 75, 54, 73, 114, 228, 165, 123, 151, 243, 440, 347, 262, 315, 499, 837, 699, 547, 630, 1006, 1573, 1362, 1104, 1249, 1956, 2945, 2579, 2169, 2425, 3720, 5444, 4803, 4146, 4630, 6916, 9968

Offset

1,11

Comments

Also, number of partitions of n such that cn(2,5) = cn(4,5) <= cn(3,5) <= 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..70.

Partitions with restricted parts modulo 5

Crossrefs

Sequence in context: A353632 A365713 A348328 * A058604 A072661 A103432

Adjacent sequences: A036861 A036862 A036863 * A036865 A036866 A036867

Keyword

nonn

Author

Olivier Gérard

Extensions

Edited and extended by Max Alekseyev, Dec 01 2013

Status

approved