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A036885 Number of partitions of 5n such that cn(1,5) = cn(4,5) <= cn(0,5) < cn(2,5) = cn(3,5). 5
1, 3, 7, 17, 40, 94, 212, 464, 980, 2010, 4011, 7820, 14927, 27968, 51519, 93450, 167106, 294902, 514054, 885804, 1509945, 2547768, 4257734, 7050954, 11576404, 18851628, 30461253, 48857762, 77813497, 123097971, 193485805, 302251865, 469376012 (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(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

Table of n, a(n) for n=1..33.

Index and properties of sequences related to partitions of 5n

FORMULA

a(n) = A036881(n) - A036889(n)

a(n) = A036886(n) + A036894(n)

CROSSREFS

Sequence in context: A298371 A106472 A309538 * A247300 A137682 A190360

Adjacent sequences:  A036882 A036883 A036884 * A036886 A036887 A036888

KEYWORD

nonn

AUTHOR

Olivier Gérard

EXTENSIONS

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

STATUS

approved

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Last modified October 19 16:17 EDT 2019. Contains 328223 sequences. (Running on oeis4.)