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%I #11 Apr 14 2023 13:06:46
%S 1,1,4,26,254,3538,67014,1660866,52230550,2033261906,96018823814,
%T 5409008246626,358368831222006,27589872391918194,2442595357421865574,
%U 246430234111929035906,28106918525950072081622,3598669462582938225587602,513978991104098010878849094
%N a(0)=1; thereafter a(n) = 2*A110501(n+1) - A005439(n).
%H Bishal Deb and Alan D. Sokal, <a href="https://arxiv.org/abs/2212.07232">Classical continued fractions for some multivariate polynomials generalizing the Genocchi and median Genocchi numbers</a>, arXiv:2212.07232 [math.CO], 2022. Section 3.1.
%o (Python)
%o from math import comb
%o from sympy import bernoulli
%o 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
%Y Cf. A110501, A005439.
%K nonn
%O 0,3
%A _N. J. A. Sloane_, Apr 14 2023
%E More terms from _Chai Wah Wu_, Apr 14 2023
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