A302577 Convolution square root of A186284 multiplied by 2^n.

1, 2, 94, 6628, 554246, 50936956, 4971074892, 505747739784, 53048521913478, 5695802803696236, 622942370315360004, 69155891028297395448, 7772714892571857579036, 882718626126348791323992, 101137353917153181195426264, 11676481964194514316750017040

Offset

0,2

Links

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

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

Cf. A186284, A127776, A002897.

Sequence in context: A158980 A343457 A220970 * A346654 A324165 A266831

Adjacent sequences: A302574 A302575 A302576 * A302578 A302579 A302580

Keyword

nonn

Author

Vaclav Kotesovec, Apr 10 2018

Status

approved