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 A159017 Numerator of Hermite(n, 3/8). 3
 1, 3, -23, -261, 1425, 37683, -114951, -7579989, 3009057, 1949504355, 4981904649, -608895679653, -3580317475407, 223074988560531, 2158637035450905, -93461683768765173, -1316530828322729919, 43902789604639578819, 847901139421483812393 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS G. C. Greubel, Table of n, a(n) for n = 0..450 FORMULA From G. C. Greubel, Jul 09 2018: (Start) a(n) = 4^n * Hermite(n, 3/8). E.g.f.: exp(3*x - 16*x^2). a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(3/4)^(n-2*k)/(k!*(n-2*k)!)). (End) MATHEMATICA Numerator[Table[HermiteH[n, 3/8], {n, 0, 50}]] (* Vladimir Joseph Stephan Orlovsky, Apr 01 2011*) Table[4^n*HermiteH[n, 3/8], {n, 0, 30}] (* G. C. Greubel, Jul 09 2018 *) PROG (PARI) a(n)=numerator(polhermite(n, 3/8)) \\ Charles R Greathouse IV, Jan 29 2016 (Magma) [Numerator((&+[(-1)^k*Factorial(n)*(3/4)^(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 CROSSREFS Cf. A159014. Sequence in context: A318004 A098681 A118790 * A004700 A199544 A302117 Adjacent sequences: A159014 A159015 A159016 * A159018 A159019 A159020 KEYWORD sign,frac AUTHOR N. J. A. Sloane, Nov 12 2009 STATUS approved

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Last modified September 18 20:35 EDT 2024. Contains 376002 sequences. (Running on oeis4.)