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A159526 Numerator of Hermite(n, 11/16). 1
1, 11, -7, -2893, -29135, 1160731, 31414441, -545882557, -34152047263, 183311218475, 41359581850201, 220317040704211, -55810803797336687, -952325816292371653, 82393593539552158985, 2612897391731003751011, -129453828286899103990079 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
LINKS
FORMULA
From G. C. Greubel, Jun 09 2018: (Start)
a(n) = 8^n * Hermite(n, 11/16).
E.g.f.: exp(11*x-64*x^2).
a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(11/8)^(n-2*k)/(k!*(n-2*k)!)). (End)
MATHEMATICA
Numerator[Table[HermiteH[n, 11/16], {n, 0, 50}]] (* Vladimir Joseph Stephan Orlovsky, Apr 29 2011 *)
PROG
(PARI) a(n)=numerator(polhermite(n, 11/16)) \\ Charles R Greathouse IV, Jan 29 2016
(Magma) [Numerator((&+[(-1)^k*Factorial(n)*(11/8)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // G. C. Greubel, Jun 09 2018
CROSSREFS
Cf. A159521.
Sequence in context: A262866 A002749 A055505 * A090841 A085757 A003567
KEYWORD
sign,frac
AUTHOR
N. J. A. Sloane, Nov 12 2009
STATUS
approved

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Last modified March 18 22:33 EDT 2024. Contains 370951 sequences. (Running on oeis4.)