A036893 Number of partitions of 5n such that cn(0,5) < cn(1,5) = cn(4,5) < cn(2,5) = cn(3,5).

0, 0, 1, 5, 18, 51, 131, 309, 694, 1494, 3117, 6320, 12514, 24234, 46016, 85790, 157301, 283982, 505432, 887692, 1539969, 2640920, 4480467, 7524824, 12518126, 20638663, 33739438, 54713975, 88052156, 140676765, 223199915, 351795463, 550981974

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) = A036888(n) - A202088(n)

a(n) = A036883(n) - A036886(n)

Extensions

Terms a(10) onward from Max Alekseyev, Dec 11 2011