A160613 Numerator of Laguerre(n, -3).

1, 4, 23, 28, 491, 1249, 19223, 15476, 3515161, 1512661, 14496817, 228800107, 11770539419, 60428965661, 5262254717509, 2521163372543, 976843770850217, 887131806309703, 73511154681979031, 255777165814872577

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..480

Crossrefs

For denominators see A160614.

Cf. A277382.

Programs

Magma

[Numerator((&+[Binomial(n,k)*(3^k/Factorial(k)): k in [0..n]])): n in [0..30]]; // G. C. Greubel, May 09 2018

Mathematica

Numerator[Table[LaguerreL[n, -3], {n, 0, 50}]] (* G. C. Greubel, May 09 2018 *)

PARI

for(n=0,30, print1(numerator(sum(k=0,n, binomial(n,k)*(3^k/k!))), ", ")) \\ G. C. Greubel, May 09 2018