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A319056 Number of non-isomorphic multiset partitions of weight n in which (1) all parts have the same size and (2) each vertex appears the same number of times. 47
1, 1, 4, 4, 10, 4, 21, 4, 26, 13, 28, 4, 128, 4, 39, 84, 150, 4, 358, 4, 956, 513, 86, 4, 12549, 1864, 134, 9582, 52366, 4, 301086, 4, 1042038, 407140, 336, 4690369, 61738312, 4, 532, 28011397, 2674943885, 4, 819150246, 4, 54904825372, 65666759973, 1303, 4, 4319823776760 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

a(p) = 4 for p prime. - Charlie Neder, Oct 15 2018

LINKS

Andrew Howroyd, Table of n, a(n) for n = 0..75

EXAMPLE

Non-isomorphic representatives of the a(1) = 1 through a(6) = 21 multiset partitions:

(1) (11) (111) (1111) (11111) (111111)

(12) (123) (1122) (12345) (111222)

(1)(1) (1)(1)(1) (1234) (1)(1)(1)(1)(1) (112233)

(1)(2) (1)(2)(3) (11)(11) (1)(2)(3)(4)(5) (123456)

(11)(22) (111)(111)

(12)(12) (111)(222)

(12)(34) (112)(122)

(1)(1)(1)(1) (112)(233)

(1)(1)(2)(2) (123)(123)

(1)(2)(3)(4) (123)(456)

(11)(11)(11)

(11)(12)(22)

(11)(22)(33)

(11)(23)(23)

(12)(12)(12)

(12)(13)(23)

(12)(34)(56)

(1)(1)(1)(1)(1)(1)

(1)(1)(1)(2)(2)(2)

(1)(1)(2)(2)(3)(3)

(1)(2)(3)(4)(5)(6)

CROSSREFS

Row sums of A322789.

Cf. A007716, A049311, A064573, A279787, A283877, A306017, A316980, A316981, A316983, A319616.

Sequence in context: A007426 A353267 A339336 * A050348 A134637 A078910

Adjacent sequences: A319053 A319054 A319055 * A319057 A319058 A319059

KEYWORD

nonn

AUTHOR

Gus Wiseman, Oct 10 2018

EXTENSIONS

Terms a(12) and beyond from Andrew Howroyd, Feb 03 2022

STATUS

approved

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Last modified December 7 05:20 EST 2022. Contains 358649 sequences. (Running on oeis4.)