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

Author

Olivier Gérard

Keywords

• nonn

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

• Index and properties of sequences related to partitions of 5n

Formula

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

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

Extensions

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