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A036887 Number of partitions of 5n such that cn(1,5) = cn(4,5) <= cn(2,5) = cn(3,5) < cn(0,5). 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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified August 20 07:48 EDT 2019. Contains 326143 sequences. (Running on oeis4.)