A160601 Numerator of Laguerre(n, -9).

1, 10, 119, 271, 8315, 70499, 174139, 8731657, 376455481, 13762207, 23585826391, 61123934273, 5568591324683, 11428044042013, 192745690532125, 25291642192372513, 4316709625044329, 28425936917236036637

Offset

0,2

Links

G. C. Greubel, Table of n, a(n) for n = 0..470

Mathematica

Numerator[Table[LaguerreL[n, -9], {n, 0, 50}]] (* G. C. Greubel, May 13 2018 *)

Prog

(PARI) for(n=0, 30, print1(numerator(sum(k=0, n, binomial(n, k)*(9^k/k!))), ", ")) \\ G. C. Greubel, May 13 2018
(PARI) a(n) = numerator(pollaguerre(n, 0, -9)); \\ Michel Marcus, Feb 05 2021
(Magma) [Numerator((&+[Binomial(n, k)*(9^k/Factorial(k)): k in [0..n]])): n in [0..30]]; // G. C. Greubel, May 13 2018

Crossrefs

For denominators see A160602.

Cf. A289215.

Sequence in context: A122887 A284331 A145510 * A338975 A327653 A024128

Adjacent sequences: A160598 A160599 A160600 * A160602 A160603 A160604

Keyword

nonn,frac

Author

N. J. A. Sloane, Nov 14 2009

Status

approved