A160607 Numerator of Laguerre(n, -6).

1, 7, 31, 109, 331, 4529, 11453, 190433, 61391, 928943, 9677971, 214858067, 60236303, 10492980947, 137504412401, 180206776249, 2272545257401, 68446106098751, 119418042814439, 3899046884359, 33130663362484669

Offset

0,2

Links

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

Mathematica

Numerator[Table[LaguerreL[n, -6], {n, 0, 50}]] (* G. C. Greubel, May 12 2018 *)

Prog

(PARI) for(n=0, 30, print1(numerator(sum(k=0, n, binomial(n, k)*(6^k/k!))), ", ")) \\ G. C. Greubel, May 12 2018
(PARI) a(n) = numerator(pollaguerre(n, 0, -6)); \\ Michel Marcus, Feb 05 2021
(Magma) [Numerator((&+[Binomial(n, k)*(6^k/Factorial(k)): k in [0..n]])): n in [0..30]]; // G. C. Greubel, May 12 2018

Crossrefs

For denominators see A160608.

Cf. A289212.

Sequence in context: A235593 A119359 A055366 * A205492 A109756 A055580

Adjacent sequences: A160604 A160605 A160606 * A160608 A160609 A160610

Keyword

nonn,frac

Author

N. J. A. Sloane, Nov 14 2009

Status

approved