OFFSET
0,4
LINKS
Beáta Bényi and Toshiki Matsusaka, Extensions of the combinatorics of poly-Bernoulli numbers, arXiv:2106.05585 [math.CO], 2021. See p. 9.
Takao Komatsu, On poly-Euler numbers of the second kind, arXiv:1806.05515 [math.NT], 2018.
EXAMPLE
n\k| 0 1 2 3 4 ...
---+------------------------------
0 | 0 0 0 0 0 ...
1 | 1 1 1 1 1 ...
2 | 4 12 28 60 124 ...
3 | 13 109 493 1837 6253 ...
4 | 40 888 7192 42840 220120 ...
...
MATHEMATICA
A[n_, k_]:=n!Coefficient[Series[PolyLog[-k, 1-Exp[-4x]]/(4x Cosh[x]), {x, 0, n}], x, n-1]; Flatten[Table[A[n-k, k], {n, 0, 9}, {k, 0, n}]]
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Stefano Spezia, Jun 17 2021
STATUS
approved