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A362587 a(n) = 2^n * A094088(n). Row sums of A362586.

%I A362587 #6 May 10 2023 11:50:11
%S A362587 1,2,28,968,62512,6487712,987533248,207257057408,57359688424192,
%T A362587 20240182500956672,8869195638810631168,4725115451770644482048,
%U A362587 3007722163880719988764672,2254432760608214922012434432,1965374406868398554356767244288,1971745067277979562424894483365888
%N A362587 a(n) = 2^n * A094088(n). Row sums of A362586.
%o A362587 (SageMath)
%o A362587 def A362587(n) :
%o A362587     @cached_function
%o A362587     def f(n) :
%o A362587         if n == 0 : return 1
%o A362587         if n % 2 != 0 : return 0
%o A362587         return sum(f(k) * binomial(n, k) for k in range(n)[::2])
%o A362587     return 2^n * f(2 * n)
%o A362587 print([A362587(n) for n in range(16)])
%Y A362587 Cf. A094088, A362586.
%K A362587 nonn
%O A362587 0,2
%A A362587 _Peter Luschny_, Apr 26 2023