A328978 Row sums of A329059.

1, 4, 27, 233, 2392, 28554, 393642, 6247511, 113612460, 2349157984, 54693260003, 1419193978899, 40649683449268, 1274332809446116, 43403931028963260, 1596092227004496195, 63024526636437361468, 2659705693841420725200, 119463071327339129567836, 5690148543901378578826660

Offset

0,2

Links

Stefano Spezia, Table of n, a(n) for n = 0..385

Formula

a(n) = binomial(2 + 4*n, n)*2F1([1, -n], [-2 - 4*n], 1 + n)/(1 + n), where 2F1 is the hypergeometric function.

a(n) ~ exp(4) * n^(n-1). - Stefano Spezia, Sep 03 2020

Mathematica

Table[(Binomial[2+4n, n]Hypergeometric2F1[1, -n, -2-4n, 1+n])/(1+n), {n, 0, 19}]

Crossrefs

Cf. A006632, A329059, A329096, A329113.

Sequence in context: A160883 A383313 A362274 * A379192 A185655 A181146

Adjacent sequences: A328975 A328976 A328977 * A328979 A328980 A328981

Keyword

nonn

Author

Stefano Spezia, Nov 05 2019

Status

approved