A362112 a(0)=1; thereafter a(n) = 2*A110501(n+1) - A005439(n).

1, 1, 4, 26, 254, 3538, 67014, 1660866, 52230550, 2033261906, 96018823814, 5409008246626, 358368831222006, 27589872391918194, 2442595357421865574, 246430234111929035906, 28106918525950072081622, 3598669462582938225587602, 513978991104098010878849094

Offset: 0

Author

N. J. A. Sloane, Apr 14 2023

Keywords

• nonn

Links

• Bishal Deb and Alan D. Sokal, Classical continued fractions for some multivariate polynomials generalizing the Genocchi and median Genocchi numbers, arXiv:2212.07232 [math.CO], 2022. Section 3.1.

Crossrefs

Cf. A110501, A005439.

Programs

Python

from math import comb
from sympy import bernoulli
def A362112(n): return ((4<<(m:=n+1<<1))-4)*abs(bernoulli(m))-abs(sum(comb(n,k)*(2-(2<Chai Wah Wu, Apr 14 2023

Extensions

More terms from Chai Wah Wu, Apr 14 2023