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

0,3

Links

Table of n, a(n) for n=0..18.

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.

Prog

(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<<n+k+1))*bernoulli(n+k+1) for k in range(n+1))) # Chai Wah Wu, Apr 14 2023

Crossrefs

Cf. A110501, A005439.

Sequence in context: A160886 A192546 A213438 * A056786 A350164 A006056

Adjacent sequences: A362109 A362110 A362111 * A362113 A362114 A362115

Keyword

nonn

Author

N. J. A. Sloane, Apr 14 2023

Extensions

More terms from Chai Wah Wu, Apr 14 2023

Status

approved