A160628 Denominator of Laguerre(n, 4).

1, 1, 1, 3, 1, 15, 45, 35, 315, 2835, 675, 155925, 467775, 2027025, 42567525, 638512875, 70945875, 1550674125, 7514805375, 618718975875, 9280784638125, 194896477400625, 714620417135625, 49308808782358125, 21132346621010625

Offset

0,4

Comments

Conjecture: all terms are odd. - Robert Israel, Mar 29 2018

Links

Robert Israel, Table of n, a(n) for n = 0..506

Maple

seq(denom(orthopoly[L](n, 4)), n=0..50); # Robert Israel, Mar 29 2018

Mathematica

Denominator[LaguerreL[Range[0, 30], 4]] (* Harvey P. Dale, Jul 13 2012 *)

Prog

(PARI) for(n=0, 30, print1(denominator(sum(k=0, n, binomial(n, k)*((-4)^k/k!))), ", ")) \\ G. C. Greubel, May 06 2018
(Magma) [Denominator((&+[Binomial(n, k)*((-4)^k/Factorial(k)): k in [0..n]])): n in [0..30]]; // G. C. Greubel, May 06 2018

Crossrefs

For numerators see A160627.

Sequence in context: A089278 A213245 A053485 * A160604 A160616 A362847

Adjacent sequences: A160625 A160626 A160627 * A160629 A160630 A160631

Keyword

nonn,frac

Author

N. J. A. Sloane, Nov 14 2009

Status

approved