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A159761 Numerator of Hermite(n, 11/21). 1
1, 22, -398, -47564, 6700, 167953192, 3665423224, -808168981136, -40410040569968, 4813419438356320, 426670129688245024, -33067616593161351872, -4867041163284902964032, 242912748429751883004544, 61149574443679238811690880, -1654195979849632997482909952 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
LINKS
FORMULA
From G. C. Greubel, May 22 2018: (Start)
a(n) = 21^n * Hermite(n,11/21).
E.g.f.: exp(22*x-441*x^2).
a(n) = Sum_{k=0..floor(n/2)} (-1)^k*n!*(22/21)^(n-2k)/(k!*(n-2k)!).
a(n+2) = 22*a(n+1) - 882*(n+1)*a(n). (End)
MATHEMATICA
Numerator[Table[HermiteH[n, 11/21], {n, 0, 30}]] (* Vladimir Joseph Stephan Orlovsky, Jun 17 2011 *)
PROG
(PARI) a(n)=numerator(polhermite(n, 11/21)) \\ Charles R Greathouse IV, Jan 29 2016
(Magma) [Numerator((&+[(-1)^k*Factorial(n)*(22/21)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // G. C. Greubel, May 21 2018
CROSSREFS
Cf. A009965 (denominators).
Sequence in context: A222886 A264464 A268947 * A049663 A246645 A183539
KEYWORD
sign,frac
AUTHOR
N. J. A. Sloane, Nov 12 2009
STATUS
approved

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Last modified July 25 08:50 EDT 2024. Contains 374587 sequences. (Running on oeis4.)