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A297178 Triangle read by rows: T(n,k) = number of partitions of genus 2 of n elements with k parts (n >= 6, 2 <=k <= n-4), 0
1, 7, 21, 28, 210, 161, 84, 1134, 2184, 777, 210, 4410, 15330, 13713, 2835, 462, 13860, 75075, 121275, 63063, 8547, 924, 37422, 289905, 729960, 685608, 233772, 22407 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

6,2

LINKS

Table of n, a(n) for n=6..33.

Robert Cori, G. Hetyei, Counting partitions of a fixed genus, arXiv preprint arXiv:1710.09992 [math.CO], 2017.

EXAMPLE

Triangle begins:

1,

7,21,

28,210,161,

84,1134,2184,777,

210,4410,15330,13713,2835,

462,13860,75075,121275,63063,8547,

924,37422,289905,729960,685608,233772,22407,

...

CROSSREFS

Row sums are A297179.

First column is A000579.

Sequence in context: A155131 A160890 A319527 * A325553 A032639 A264619

Adjacent sequences:  A297175 A297176 A297177 * A297179 A297180 A297181

KEYWORD

nonn,tabl,more

AUTHOR

N. J. A. Sloane, Dec 26 2017

STATUS

approved

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Last modified May 31 07:30 EDT 2020. Contains 334747 sequences. (Running on oeis4.)