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A159028
Numerator of Hermite(n, 7/8).
1
1, 7, 17, -329, -3935, 14567, 731569, 2324119, -147602623, -1628192825, 31112205649, 738807143543, -5779846383647, -324160867806041, 135290020954865, 146171098923790423, 958258482408197761, -68131793272123312249, -998215167334922767727
OFFSET
0,2
LINKS
FORMULA
From G. C. Greubel, Jul 14 2018: (Start)
a(n) = 4^n * Hermite(n, 7/8).
E.g.f.: exp(7*x - 16*x^2).
a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(7/4)^(n-2*k)/(k!*(n-2*k)!)). (End)
MATHEMATICA
Numerator[Table[HermiteH[n, 7/8], {n, 0, 50}]] (* Vladimir Joseph Stephan Orlovsky, Apr 01 2011 *)
Table[4^n*HermiteH[n, 7/8], {n, 0, 30}] (* G. C. Greubel, Jul 14 2018 *)
PROG
(PARI) a(n)=numerator(polhermite(n, 7/8)) \\ Charles R Greathouse IV, Jan 29 2016
(PARI) x='x+O('x^30); Vec(serlaplace(exp(7*x - 16*x^2))) \\ G. C. Greubel, Jul 14 2018
(Magma) [Numerator((&+[(-1)^k*Factorial(n)*(7/4)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // G. C. Greubel, Jul 14 2018
CROSSREFS
Sequence in context: A053584 A077715 A089563 * A102266 A113765 A269447
KEYWORD
sign,frac
AUTHOR
N. J. A. Sloane, Nov 12 2009
STATUS
approved