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A159450
Numerator of Hermite(n, 7/11).
1
1, 14, -46, -7420, -70484, 6195784, 172026616, -6587905744, -383643767920, 7383172769504, 938940545302816, -4722110467960256, -2565569278147539776, -22204961095108973440, 7760411493720634507136, 183876169102318085114624, -25596027354773450069298944
OFFSET
0,2
LINKS
FORMULA
From G. C. Greubel, Jun 15 2018: (Start)
a(n) = 11^n * Hermite(n,7/11).
E.g.f.: exp(14*x-121*x^2).
a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(14/11)^(n-2*k)/(k!*(n-2*k)!)). (End)
MATHEMATICA
Numerator[Table[HermiteH[n, 7/11], {n, 0, 50}]] (* Vladimir Joseph Stephan Orlovsky, Apr 12 2011 *)
PROG
(PARI) a(n)=numerator(polhermite(n, 7/11)) \\ Charles R Greathouse IV, Jan 29 2016
(Magma) [Numerator((&+[(-1)^k*Factorial(n)*(14/11)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // G. C. Greubel, Jun 15 2018
CROSSREFS
Cf. A159280.
Sequence in context: A242583 A335676 A334830 * A243040 A243041 A243042
KEYWORD
sign,frac
AUTHOR
N. J. A. Sloane, Nov 12 2009
STATUS
approved