[go: up one dir, main page]

login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

A160611
Numerator of Laguerre(n, -4).
3
1, 5, 17, 143, 355, 4043, 5177, 367271, 713723, 2410003, 109669391, 85569361, 11122330591, 245535162239, 52108328723, 70514170732823, 1753034045867, 3087820148584967, 3365163124738543, 15216530369586809, 9955926989110451149, 63735241273696485041
OFFSET
0,2
LINKS
FORMULA
a:= n-> numer(add(binomial(n, i)*4^i/i!, i=0..n)):
seq(a(n), n=0..25); # Alois P. Heinz, Jun 27 2017
MATHEMATICA
Numerator[Table[LaguerreL[n, -4], {n, 0, 50}]] (* G. C. Greubel, May 12 2018 *)
PROG
(PARI) for(n=0, 30, print1(numerator(sum(k=0, n, binomial(n, k)*(4^k/k!))), ", ")) \\ G. C. Greubel, May 12 2018
(PARI) a(n) = numerator(pollaguerre(n, 0, -4)); \\ Michel Marcus, Feb 05 2021
(Magma) [Numerator((&+[Binomial(n, k)*(4^k/Factorial(k)): k in [0..n]])): n in [0..30]]; // G. C. Greubel, May 12 2018
CROSSREFS
For denominators see A160612.
Cf. A289147.
Sequence in context: A071057 A181922 A177509 * A281429 A286307 A119769
KEYWORD
nonn,frac
AUTHOR
N. J. A. Sloane, Nov 14 2009
STATUS
approved