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 A160334 Numerator of Hermite(n, 23/31). 1
 1, 46, 194, -167900, -8842004, 884083016, 125639477176, -4415829390416, -1893481677885040, -19202364475675424, 31870137298174352416, 1835095760938501860416, -589384037754831073199936, -69436314367007836275831680, 11532279106459848726285343616 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Vincenzo Librandi, Table of n, a(n) for n = 0..200 FORMULA From G. C. Greubel, Jul 12 2018: (Start) a(n) = 31^n * Hermite(n, 23/31). E.g.f.: exp(46*x - 961*x^2). a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(46/31)^(n-2*k)/(k!*(n-2*k)!)). (End) EXAMPLE Numerators of 1, 46/31, 194/961, -167900/29791, -8842004/923521, ... MATHEMATICA Numerator[HermiteH[Range[0, 20], 23/31]] (* Harvey P. Dale, Aug 10 2014 *) Table[31^n*HermiteH[n, 23/31], {n, 0, 30}] (* G. C. Greubel, Jul 12 2018 *) PROG (PARI) a(n)=numerator(polhermite(n, 23/31)) \\ Charles R Greathouse IV, Jan 29 2016 (MAGMA) [Numerator((&+[(-1)^k*Factorial(n)*(46/31)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // G. C. Greubel, Jul 12 2018 CROSSREFS Cf. A009975 (denominators). Sequence in context: A235767 A192850 A211334 * A235550 A083358 A254229 Adjacent sequences:  A160331 A160332 A160333 * A160335 A160336 A160337 KEYWORD sign,frac AUTHOR N. J. A. Sloane, Nov 12 2009 STATUS approved

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Last modified August 19 06:48 EDT 2022. Contains 356216 sequences. (Running on oeis4.)