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A036883 Number of partitions of 5n such that cn(0,5) <= cn(1,5) = cn(4,5) < cn(2,5) = cn(3,5). 5
1, 3, 7, 18, 45, 112, 263, 594, 1284, 2684, 5442, 10761, 20802, 39431, 73410, 134469, 242633, 431772, 758448, 1316294, 2258665, 3834699, 6445463, 10731790, 17709476, 28977664, 47036030, 75767355, 121164398, 192422933, 303572061, 475900075 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

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

Table of n, a(n) for n=1..32.

Index and properties of sequences related to partitions of 5n

FORMULA

a(n) = A036880(n) - A202087(n)

a(n) = A036886(n) + A036893(n)

CROSSREFS

Sequence in context: A000226 A291734 A291229 * A247296 A191652 A191826

Adjacent sequences:  A036880 A036881 A036882 * A036884 A036885 A036886

KEYWORD

nonn

AUTHOR

Olivier Gérard

EXTENSIONS

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

STATUS

approved

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Last modified April 10 11:35 EDT 2021. Contains 342845 sequences. (Running on oeis4.)