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A329113 Row sums of A329058. 2
1, 3, 16, 114, 1013, 10973, 142980, 2208958, 39796747, 822252765, 19192927840, 499725372072, 14361189358332, 451551559895244, 15419952421504604, 568327808746891014, 22486286328779957223, 950624702855155671101, 42765431507866487733504, 2039838152324158031743570 (list; graph; refs; listen; history; text; internal format)
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: A124537 A305133 A074523 * A042437 A324514 A334786

Adjacent sequences:  A329110 A329111 A329112 * A329114 A329115 A329116

KEYWORD

nonn

AUTHOR

Stefano Spezia, Nov 05 2019

STATUS

approved

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Last modified January 19 16:16 EST 2021. Contains 340270 sequences. (Running on oeis4.)