A036870 Number of partitions of n such that cn(0,5) = cn(1,5) < cn(2,5) = cn(4,5) <= cn(3,5).

0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 3, 1, 0, 3, 2, 6, 3, 2, 7, 6, 13, 7, 6, 17, 16, 26, 18, 16, 36, 38, 55, 39, 40, 77, 84, 119, 84, 90, 165, 174, 253, 180, 193, 345, 360, 522, 375, 406, 705, 719, 1056, 763, 825, 1416, 1420, 2065, 1531, 1640, 2765, 2758, 3945, 2992, 3206, 5282, 5268, 7381, 5732, 6139, 9895

Offset

1,14

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..72.

Partitions with restricted parts modulo 5

Crossrefs

Sequence in context: A265605 A035629 A099546 * A036874 A256759 A336090

Adjacent sequences: A036867 A036868 A036869 * A036871 A036872 A036873

Keyword

nonn

Author

Olivier Gérard

Extensions

Edited and extended by Max Alekseyev, Dec 01 2013

Status

approved