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A036893 Number of partitions of 5n such that cn(0,5) < cn(1,5) = cn(4,5) < cn(2,5) = cn(3,5). 5
0, 0, 1, 5, 18, 51, 131, 309, 694, 1494, 3117, 6320, 12514, 24234, 46016, 85790, 157301, 283982, 505432, 887692, 1539969, 2640920, 4480467, 7524824, 12518126, 20638663, 33739438, 54713975, 88052156, 140676765, 223199915, 351795463, 550981974 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,4

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..33.

Index and properties of sequences related to partitions of 5n

FORMULA

a(n) = A036888(n) - A202088(n)

a(n) = A036883(n) - A036886(n)

CROSSREFS

Sequence in context: A270978 A272512 A257055 * A125641 A006479 A127983

Adjacent sequences:  A036890 A036891 A036892 * A036894 A036895 A036896

KEYWORD

nonn

AUTHOR

Olivier Gérard

EXTENSIONS

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

STATUS

approved

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Last modified August 19 18:51 EDT 2019. Contains 326133 sequences. (Running on oeis4.)