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A159859
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Numerator of Hermite(n, 2/23).
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4
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1, 4, -1042, -12632, 3256780, 66485744, -16962423224, -489901195808, 123664101613712, 4641180127773760, -1158964855054670624, -53739545172065063296, 13273074802437996468928, 735369564714290029481728, -179616392573875043315708800, -11610759562843564089946190336
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OFFSET
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0,2
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LINKS
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G. C. Greubel, Table of n, a(n) for n = 0..385
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FORMULA
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From G. C. Greubel, Jul 09 2018: (Start)
a(n) = 23^n * Hermite(n, 2/23).
E.g.f.: exp(4*x-529*x^2).
a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(4/23)^(n-2*k)/(k!*(n-2*k)!)). (End)
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MATHEMATICA
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Numerator[Table[HermiteH[n, 2/23], {n, 0, 30}]] (* Vladimir Joseph Stephan Orlovsky, Jun 22 2011 *)
Table[23^n*HermiteH[n, 2/23], {n, 0, 30}] (* G. C. Greubel, Jul 09 2018 *)
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PROG
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(PARI) a(n)=numerator(polhermite(n, 2/23)) \\ Charles R Greathouse IV, Jan 29 2016
(Magma) [Numerator((&+[(-1)^k*Factorial(n)*(4/23)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // G. C. Greubel, Jul 09 2018
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CROSSREFS
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Cf. A159858.
Sequence in context: A139300 A004804 A221228 * A110499 A009013 A351618
Adjacent sequences: A159856 A159857 A159858 * A159860 A159861 A159862
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KEYWORD
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sign,frac
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AUTHOR
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N. J. A. Sloane, Nov 12 2009
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STATUS
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approved
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