A160604 Denominator of Laguerre(n, -8).

1, 1, 1, 3, 1, 15, 45, 105, 315, 405, 525, 155925, 467775, 2027025, 42567525, 58046625, 30405375, 10854718875, 8881133625, 206239658625, 9280784638125, 17717861581875, 714620417135625, 7044115540336875, 147926426347074375

Offset

0,4

Links

G. C. Greubel, Table of n, a(n) for n = 0..500

Mathematica

Denominator[Table[LaguerreL[n, -8], {n, 0, 50}]] (* G. C. Greubel, May 13 2018 *)

Prog

(PARI) for(n=0, 30, print1(denominator(sum(k=0, n, binomial(n, k)*(8^k/k!))), ", ")) \\ G. C. Greubel, May 13 2018
(PARI) a(n) = denominator(pollaguerre(n, 0, -8)); \\ Michel Marcus, Feb 05 2021
(Magma) [Denominator((&+[Binomial(n, k)*(8^k/Factorial(k)): k in [0..n]])): n in [0..30]]; // G. C. Greubel, May 13 2018

Crossrefs

For numerators see A160603.

Cf. A289214.

Sequence in context: A213245 A053485 A160628 * A160616 A362847 A168319

Adjacent sequences: A160601 A160602 A160603 * A160605 A160606 A160607

Keyword

nonn,frac

Author

N. J. A. Sloane, Nov 14 2009

Status

approved