A160627 Numerator of Laguerre(n, 4).

1, -3, 1, 7, 1, -13, -83, -57, -197, 1543, 931, 255217, 620863, 1283437, -8184347, -581939153, -96325549, -2261420263, -9237901697, -466203083257, -1399462769491, 88080802505933, 675385729846153, 61756890564641033, 28280520375244993, 495763088616446491

Offset

0,2

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

Mathematica

Numerator[Table[LaguerreL[n, 4], {n, 0, 50}]] (* G. C. Greubel, May 06 2018 *)

Prog

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

Crossrefs

For denominators see A160628.

Sequence in context: A362628 A225561 A098093 * A114712 A321452 A089741

Adjacent sequences: A160624 A160625 A160626 * A160628 A160629 A160630

Keyword

sign,frac

Author

N. J. A. Sloane, Nov 14 2009

Status

approved