A036886 Number of partitions of 5n such that cn(0,5) = cn(1,5) = cn(4,5) < cn(2,5) = cn(3,5).

1, 3, 6, 13, 27, 61, 132, 285, 590, 1190, 2325, 4441, 8288, 15197, 27394, 48679, 85332, 147790, 253016, 428602, 718696, 1193779, 1964996, 3206966, 5191350, 8339001, 13296592, 21053380, 33112242, 51746168, 80372146, 124104612, 190557592

Offset: 1

Author

Olivier Gérard

Keywords

• nonn

Comments

Alternatively, number of partitions of 5n such that cn(0,5) = cn(2,5) = cn(3,5) < 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) = A036884(n) - A046776(n)

a(n) = A036885(n) - A036894(n)

a(n) = A036883(n) - A036893(n)

Extensions

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