A036887 Number of partitions of 5n such that cn(1,5) = cn(4,5) <= cn(2,5) = cn(3,5) < cn(0,5).

1, 2, 4, 10, 25, 62, 145, 323, 689, 1417, 2831, 5517, 10532, 19734, 36377, 66042, 118240, 208929, 364689, 629238, 1073964, 1814246, 3035236, 5031509, 8268583, 13476606, 21793642, 34981783, 55753411, 88258773, 138813831, 216978085, 337147547

Offset

1,2

Comments

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

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) = A036882(n) - A036889(n)

a(n) = A202086(n) + A036895(n)

Crossrefs

Sequence in context: A000458 A089928 A173610 * A307578 A151536 A026269

Adjacent sequences: A036884 A036885 A036886 * A036888 A036889 A036890

Keyword

nonn

Author

Olivier Gérard

Extensions

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

Status

approved