A036885 Number of partitions of 5n such that cn(1,5) = cn(4,5) <= cn(0,5) < cn(2,5) = cn(3,5).

1, 3, 7, 17, 40, 94, 212, 464, 980, 2010, 4011, 7820, 14927, 27968, 51519, 93450, 167106, 294902, 514054, 885804, 1509945, 2547768, 4257734, 7050954, 11576404, 18851628, 30461253, 48857762, 77813497, 123097971, 193485805, 302251865, 469376012

Offset

1,2

Comments

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

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..33.

Index and properties of sequences related to partitions of 5n

Formula

a(n) = A036881(n) - A036889(n)

a(n) = A036886(n) + A036894(n)

Crossrefs

Sequence in context: A367396 A106472 A309538 * A247300 A137682 A190360

Adjacent sequences: A036882 A036883 A036884 * A036886 A036887 A036888

Keyword

nonn

Author

Olivier Gérard

Extensions

Terms a(10) onward from Max Alekseyev, Dec 10 2011

Status

approved