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A302577
Convolution square root of A186284 multiplied by 2^n.
0
1, 2, 94, 6628, 554246, 50936956, 4971074892, 505747739784, 53048521913478, 5695802803696236, 622942370315360004, 69155891028297395448, 7772714892571857579036, 882718626126348791323992, 101137353917153181195426264, 11676481964194514316750017040
OFFSET
0,2
FORMULA
a(n) ~ Pi^(9/8) * 2^(7*n - 5/4) / (Gamma(1/4)^(7/2) * n^(3/2)).
MATHEMATICA
nmax = 20; CoefficientList[Series[Hypergeometric2F1[1/4, 1/4, 1, 64*x]^(1/4), {x, 0, nmax}], x] * 2^Range[0, nmax]
CROSSREFS
KEYWORD
nonn
AUTHOR
Vaclav Kotesovec, Apr 10 2018
STATUS
approved