A036894 Number of partitions of 5n such that cn(1,5) = cn(4,5) < cn(0,5) < cn(2,5) = cn(3,5).

0, 0, 1, 4, 13, 33, 80, 179, 390, 820, 1686, 3379, 6639, 12771, 24125, 44771, 81774, 147112, 261038, 457202, 791249, 1353989, 2292738, 3843988, 6385054, 10512627, 17164661, 27804382, 44701255, 71351803, 113113659, 178147253, 278818420, 433764555

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) = A036890(n) - A036892(n)

a(n) = A036885(n) - A036886(n)

Extensions

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