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A160628 Denominator of Laguerre(n, 4). 2
1, 1, 1, 3, 1, 15, 45, 35, 315, 2835, 675, 155925, 467775, 2027025, 42567525, 638512875, 70945875, 1550674125, 7514805375, 618718975875, 9280784638125, 194896477400625, 714620417135625, 49308808782358125, 21132346621010625 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,4
COMMENTS
Conjecture: all terms are odd. - Robert Israel, Mar 29 2018
LINKS
MAPLE
seq(denom(orthopoly[L](n, 4)), n=0..50); # Robert Israel, Mar 29 2018
MATHEMATICA
Denominator[LaguerreL[Range[0, 30], 4]] (* Harvey P. Dale, Jul 13 2012 *)
PROG
(PARI) for(n=0, 30, print1(denominator(sum(k=0, n, binomial(n, k)*((-4)^k/k!))), ", ")) \\ G. C. Greubel, May 06 2018
(Magma) [Denominator((&+[Binomial(n, k)*((-4)^k/Factorial(k)): k in [0..n]])): n in [0..30]]; // G. C. Greubel, May 06 2018
CROSSREFS
For numerators see A160627.
Sequence in context: A089278 A213245 A053485 * A160604 A160616 A362847
KEYWORD
nonn,frac
AUTHOR
N. J. A. Sloane, Nov 14 2009
STATUS
approved

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Last modified April 20 17:12 EDT 2024. Contains 371845 sequences. (Running on oeis4.)