A329113 Row sums of A329058.

1, 3, 16, 114, 1013, 10973, 142980, 2208958, 39796747, 822252765, 19192927840, 499725372072, 14361189358332, 451551559895244, 15419952421504604, 568327808746891014, 22486286328779957223, 950624702855155671101, 42765431507866487733504, 2039838152324158031743570

Offset

0,2

Links

Table of n, a(n) for n=0..19.

Formula

a(n) = binomial(1 + 3*n, n)*2F1([1, -n], [-1 - 3*n], 1 + n)/(1 + n), where 2F1 is the hypergeometric function.

a(n) ~ exp(3) * n^(n-1). - Vaclav Kotesovec, Nov 06 2019

Mathematica

Table[(Binomial[1+3n, n]Hypergeometric2F1[1, -n, -1-3n, 1+n])/(1+n), {n, 0, 19}]

Crossrefs

Cf. A007318, A329058.

Sequence in context: A305133 A368510 A074523 * A042437 A324514 A334786

Adjacent sequences: A329110 A329111 A329112 * A329114 A329115 A329116

Keyword

nonn

Author

Stefano Spezia, Nov 05 2019

Status

approved