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A159485
Numerator of Hermite(n, 7/12).
1
1, 7, -23, -1169, -3215, 314167, 3356569, -112224161, -2477279903, 47300157415, 1936378479049, -20501463985457, -1677122003305007, 5973410860299799, 1611600071115585145, 5260002350626898623, -1703708060350443666239, -17985479130375292877369
OFFSET
0,2
LINKS
FORMULA
From G. C. Greubel, Jun 12 2018: (Start)
a(n) = 6^n * Hermite(n,7/12).
E.g.f.: exp(7*x-36*x^2).
a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(7/6)^(n-2*k)/(k!*(n-2*k)!)). (End)
MATHEMATICA
Numerator[Table[HermiteH[n, 7/12], {n, 0, 50}]] (* Vladimir Joseph Stephan Orlovsky, Apr 13 2011 *)
PROG
(PARI) a(n)=numerator(polhermite(n, 7/12)) \\ Charles R Greathouse IV, Jan 29 2016
(Magma) [Numerator((&+[(-1)^k*Factorial(n)*(7/6)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // G. C. Greubel, Jun 12 2018
CROSSREFS
Cf. A159280.
Sequence in context: A050918 A322557 A228699 * A009047 A129662 A012482
KEYWORD
sign,frac
AUTHOR
N. J. A. Sloane, Nov 12 2009
STATUS
approved