A063079 Bisection of A001790.

1, 5, 63, 429, 12155, 88179, 1300075, 9694845, 583401555, 4418157975, 67282234305, 514589420475, 15801325804719, 121683714103007, 1879204156221315, 14544636039226909, 1804857108504066435

Offset

1,2

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..200

Petros Hadjicostas, Proof of the claim A334907(n)/n! = a(n+1)/A060818(n), 2020.

Formula

Numerators of binomial(2*n-3/2, -1/2).

Because A334907(n)/n! = a(n+1)/A060818(n) for n >= 0, the o.g.f. of a(n+1)/A060818(n), for n >= 0, is (sqrt(1 + sqrt(8*s)) - sqrt(1 - sqrt(8*s)))/sqrt(8*s * (1 - 8*s)), which is the e.g.f. of A334907 (see the link above for a proof). - Petros Hadjicostas, May 16 2020

Maple

seq(numer(binomial(2*n-3/2, -1/2)), n=1..20);

Mathematica

Numerator[Binomial[2Range[20]-3/2, -(1/2)]] (* Harvey P. Dale, Feb 27 2012 *)

Crossrefs

Cf. A001790, A060818, A334907. Other bisection gives A061548.

Sequence in context: A067129 A209117 A238087 * A362786 A222376 A243218

Adjacent sequences: A063076 A063077 A063078 * A063080 A063081 A063082

Keyword

nonn,easy

Author

N. J. A. Sloane, Aug 07 2001

Extensions

More terms from Vladeta Jovovic, Aug 07 2001

Status

approved