A160566 Numerator of Laguerre(n, -11).

1, 12, 167, 1312, 15243, 218149, 18053887, 16744993, 9564235169, 60519568871, 2162548405277, 1042027382717, 495498798823907, 142936348776673, 502871478378225709, 2136147813028051787, 201533194180774871969

Offset: 0

Author

N. J. A. Sloane, Nov 14 2009

Keywords

• nonn
• frac

Links

• G. C. Greubel, Table of n, a(n) for n = 0..440

Crossrefs

For denominators see A160586.

Programs

Magma

[Numerator((&+[Binomial(n,k)*(11^k/Factorial(k)): k in [0..n]])): n in [0..30]]; // G. C. Greubel, May 12 2018

Mathematica

Numerator[Table[LaguerreL[n, -11], {n, 0, 50}]] (* G. C. Greubel, May 12 2018 *)

PARI

for(n=0,30, print1(numerator(sum(k=0,n, binomial(n,k)*(11^k/k!))), ", ")) \\ G. C. Greubel, May 12 2018

PARI

a(n) = numerator(pollaguerre(n, 0, -11)); \\ Michel Marcus, Feb 05 2021