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A159784
Numerator of Hermite(n, 19/21).
1
1, 38, 562, -45676, -3222740, 38680808, 15682154104, 391223020016, -81955144677488, -5874765126977440, 427318863624757024, 68053545237681787712, -1559812895855484713792, -779551612838132460267904, -11738146623970045761841280, 9179853743614397880438109952
OFFSET
0,2
LINKS
FORMULA
From G. C. Greubel, Jul 11 2018: (Start)
a(n) = 21^n * Hermite(n, 19/21).
E.g.f.: exp(38*x - 441*x^2).
a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(38/21)^(n-2*k)/(k!*(n-2*k)!)). (End)
MATHEMATICA
Numerator[Table[HermiteH[n, 19/21], {n, 0, 30}]] (* Vladimir Joseph Stephan Orlovsky, Jun 17 2011 *)
Table[21^n*HermiteH[n, 19/21], {n, 0, 50}] (* G. C. Greubel, Jul 11 2018 *)
PROG
(PARI) a(n)=numerator(polhermite(n, 19/21)) \\ Charles R Greathouse IV, Jan 29 2016
(Magma) [Numerator((&+[(-1)^k*Factorial(n)*(38/21)^(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: A006418 A160317 A088891 * A243820 A268765 A202715
KEYWORD
sign,frac
AUTHOR
N. J. A. Sloane, Nov 12 2009
STATUS
approved