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A299507 a(n) = (-1)^n*hypergeom([-n, n], [1], 4). 2
1, 3, 33, 387, 4737, 59523, 761121, 9854211, 128772609, 1694927619, 22437369633, 298419470979, 3984500221569, 53376363001731, 717044895641121, 9656091923587587, 130310873022310401, 1761872309456567811, 23861153881099854369, 323634591584064809859 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

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

FORMULA

From Vaclav Kotesovec, Jul 05 2018: (Start)

Recurrence: n*(2*n-3)*a(n) = 2*(14*n^2 - 28*n + 11)*a(n-1) - (n-2)*(2*n-1)*a(n-2).

a(n) ~ 2^(-3/2) * 3^(1/4) * (7 + 4*sqrt(3))^n / sqrt(Pi*n). (End)

MATHEMATICA

a[n_] := (-1)^n Hypergeometric2F1[-n, n, 1, 4]; Table[a[n], {n, 0, 19}]

CROSSREFS

Cf. A299864, A245926, A084768, A245927.

Cf. A300945, A300946.

Sequence in context: A228002 A163476 A155660 * A294167 A009502 A222941

Adjacent sequences:  A299504 A299505 A299506 * A299508 A299509 A299510

KEYWORD

nonn

AUTHOR

Peter Luschny, Mar 16 2018

STATUS

approved

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Last modified September 15 12:22 EDT 2019. Contains 327078 sequences. (Running on oeis4.)