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

1, 2, 28, 968, 62512, 6487712, 987533248, 207257057408, 57359688424192, 20240182500956672, 8869195638810631168, 4725115451770644482048, 3007722163880719988764672, 2254432760608214922012434432, 1965374406868398554356767244288, 1971745067277979562424894483365888

Offset

0,2

Links

Table of n, a(n) for n=0..15.

Prog

(SageMath)
def A362587(n) :
    @cached_function
    def f(n) :
        if n == 0 : return 1
        if n % 2 != 0 : return 0
        return sum(f(k) * binomial(n, k) for k in range(n)[::2])
    return 2^n * f(2 * n)
print([A362587(n) for n in range(16)])

Crossrefs

Cf. A094088, A362586.

Sequence in context: A264637 A352251 A012756 * A009403 A026944 A296464

Adjacent sequences: A362584 A362585 A362586 * A362588 A362589 A362590

Keyword

nonn

Author

Peter Luschny, Apr 26 2023

Status

approved