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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
OFFSET
0,2
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
Sequence in context: A305133 A368510 A074523 * A042437 A324514 A334786
KEYWORD
nonn
AUTHOR
Stefano Spezia, Nov 05 2019
STATUS
approved