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A328978 Row sums of A329059. 2

%I #32 Feb 08 2021 05:14:57

%S 1,4,27,233,2392,28554,393642,6247511,113612460,2349157984,

%T 54693260003,1419193978899,40649683449268,1274332809446116,

%U 43403931028963260,1596092227004496195,63024526636437361468,2659705693841420725200,119463071327339129567836,5690148543901378578826660

%N Row sums of A329059.

%H Stefano Spezia, <a href="/A328978/b328978.txt">Table of n, a(n) for n = 0..385</a>

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

%F a(n) ~ exp(4) * n^(n-1). - _Stefano Spezia_, Sep 03 2020

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

%Y Cf. A006632, A329059, A329096, A329113.

%K nonn

%O 0,2

%A _Stefano Spezia_, Nov 05 2019

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Last modified March 29 04:59 EDT 2024. Contains 371264 sequences. (Running on oeis4.)