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A328978 Row sums of A329059. 2
1, 4, 27, 233, 2392, 28554, 393642, 6247511, 113612460, 2349157984, 54693260003, 1419193978899, 40649683449268, 1274332809446116, 43403931028963260, 1596092227004496195, 63024526636437361468, 2659705693841420725200, 119463071327339129567836, 5690148543901378578826660 (list; graph; refs; listen; history; text; internal format)
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: A341962 A276029 A160883 * A185655 A181146 A303559

Adjacent sequences:  A328975 A328976 A328977 * A328979 A328980 A328981

KEYWORD

nonn

AUTHOR

Stefano Spezia, Nov 05 2019

STATUS

approved

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Last modified December 8 22:49 EST 2021. Contains 349596 sequences. (Running on oeis4.)