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A160627 Numerator of Laguerre(n, 4). 2
1, -3, 1, 7, 1, -13, -83, -57, -197, 1543, 931, 255217, 620863, 1283437, -8184347, -581939153, -96325549, -2261420263, -9237901697, -466203083257, -1399462769491, 88080802505933, 675385729846153, 61756890564641033, 28280520375244993, 495763088616446491 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
COMMENTS
Conjecture: all terms are odd. - Robert Israel, Mar 29 2018
LINKS
MAPLE
seq(numer(orthopoly[L](n, 4)), n=0..50); # Robert Israel, Mar 29 2018
MATHEMATICA
Numerator[Table[LaguerreL[n, 4], {n, 0, 50}]] (* G. C. Greubel, May 06 2018 *)
PROG
(PARI) for(n=0, 30, print1(numerator(sum(k=0, n, binomial(n, k)*((-4)^k/k!))), ", ")) \\ G. C. Greubel, May 06 2018
(Magma) [Numerator((&+[Binomial(n, k)*((-4)^k/Factorial(k)): k in [0..n]])): n in [0..30]]; // G. C. Greubel, May 06 2018
CROSSREFS
For denominators see A160628.
Sequence in context: A362628 A225561 A098093 * A114712 A321452 A089741
KEYWORD
sign,frac
AUTHOR
N. J. A. Sloane, Nov 14 2009
STATUS
approved

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Last modified April 15 04:52 EDT 2024. Contains 371667 sequences. (Running on oeis4.)