A160603 Numerator of Laguerre(n, -8).

1, 9, 49, 619, 737, 35111, 305917, 1930753, 14779003, 46162429, 139399997, 92993347501, 606843495583, 5559358281401, 240588034396789, 660664176177209, 682418523335551, 471285453584720627, 732894385728160361

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..483

Crossrefs

For denominators see A160604.

Cf. A289214.

Programs

Magma

[Numerator((&+[Binomial(n,k)*(8^k/Factorial(k)): k in [0..n]])): n in [0..30]]; // G. C. Greubel, May 13 2018

Mathematica

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

PARI

for(n=0,30, print1(numerator(sum(k=0,n, binomial(n,k)*(8^k/k!))), ", ")) \\ G. C. Greubel, May 13 2018

PARI

a(n) = numerator(pollaguerre(n, 0, -8)); \\ Michel Marcus, Feb 05 2021