A160554 Numerator of Laguerre(n, -12).

1, 13, 97, 541, 2497, 50273, 182309, 4256087, 13247651, 38903687, 543392719, 15986775377, 41148884933, 1330667437997, 1728533404931, 23966754421349, 603184673218147, 22925161516659191, 4561425357186553, 2045955360223686629

Offset

0,2

Links

G. C. Greubel, Table of n, a(n) for n = 0..500

Mathematica

Table[LaguerreL[n, -12] // Numerator, {n, 0, 19}] (* Jean-François Alcover, Jul 01 2017 *)

Prog

(PARI) for(n=0, 30, print1(numerator(sum(k=0, n, binomial(n, k)*(12^k/k!))), ", ")) \\ G. C. Greubel, May 14 2018
(Magma) [Numerator((&+[Binomial(n, k)*(12^k/Factorial(k)): k in [0..n]])): n in [0..30]]; // G. C. Greubel, May 14 2018

Crossrefs

For denominators see A160555.

Sequence in context: A242385 A141894 A275879 * A211388 A125350 A049294

Adjacent sequences: A160551 A160552 A160553 * A160555 A160556 A160557

Keyword

nonn,frac

Author

N. J. A. Sloane, Nov 14 2009

Status

approved