

A297178


Triangle read by rows: T(n,k) = number of partitions of genus 2 of n elements with k parts (n >= 6, 2 <=k <= n4),


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
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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



