A302577 - OEIS

%I #11 Apr 10 2018 15:59:06

%S 1,2,94,6628,554246,50936956,4971074892,505747739784,53048521913478,

%T 5695802803696236,622942370315360004,69155891028297395448,

%U 7772714892571857579036,882718626126348791323992,101137353917153181195426264,11676481964194514316750017040

%N Convolution square root of A186284 multiplied by 2^n.

%F a(n) ~ Pi^(9/8) * 2^(7*n - 5/4) / (Gamma(1/4)^(7/2) * n^(3/2)).

%t nmax = 20; CoefficientList[Series[Hypergeometric2F1[1/4, 1/4, 1, 64*x]^(1/4), {x, 0, nmax}], x] * 2^Range[0, nmax]

%Y Cf. A186284, A127776, A002897.

%K nonn

%O 0,2

%A _Vaclav Kotesovec_, Apr 10 2018