A159511 Numerator of Hermite(n, 11/14).
1, 11, 23, -1903, -27695, 441331, 18425191, -56825527, -13264761823, -101361166885, 10584547092151, 215763961560961, -9036738188168207, -353142538865540413, 7628236524205351175, 568422165089780309561, -4960863874594282822079
Offset: 0
Links
- G. C. Greubel, Table of n, a(n) for n = 0..450
Programs
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Magma
[Numerator((&+[(-1)^k*Factorial(n)*(11/7)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // G. C. Greubel, Jun 11 2018
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Mathematica
Numerator[Table[HermiteH[n,11/14],{n,0,50}]] (* Vladimir Joseph Stephan Orlovsky, Apr 28 2011 *) -
PARI
a(n)=numerator(polhermite(n,11/14)) \\ Charles R Greathouse IV, Jan 29 2016
Formula
From G. C. Greubel, Jun 11 2018: (Start)
a(n) = 7^n * Hermite(n,11/14).
E.g.f.: exp(11*x-49*x^2).
a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(11/7)^(n-2*k)/(k!*(n-2*k)!)). (End)