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 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 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Alois P. Heinz, Table of n, a(n) for n = 0..491 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 Adjacent sequences: A160608 A160609 A160610 * A160612 A160613 A160614 KEYWORD nonn,frac AUTHOR N. J. A. Sloane, Nov 14 2009 STATUS approved

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Last modified September 13 06:51 EDT 2024. Contains 375859 sequences. (Running on oeis4.)