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 A160251 Numerator of Hermite(n, 8/29). 1
 1, 16, -1426, -76640, 5969356, 611143616, -40423986104, -6814445150336, 366920889983120, 97565908182651136, -3993393901642052384, -1704952878058464945664, 46606527919245814078144, 35158473337439989488532480, -456562766083189138816177024 (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) = 29^n * Hermite(n, 8/29). E.g.f.: exp(16*x - 841*x^2). a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(16/29)^(n-2*k)/(k!*(n-2*k)!)). (End) EXAMPLE Numerators of 1, 16/29, -1426/841, -76640/24389, 5969356/707281, ... MATHEMATICA Numerator[HermiteH[Range[0, 20], 8/29]] (* Harvey P. Dale, Jul 22 2014 *) Table[29^n*HermiteH[n, 8/29], {n, 0, 30}] (* G. C. Greubel, Jul 12 2018 *) a[ n_] := If[ n < 0, 0, SeriesCoefficient[ Exp[ 16 x - 841 x^2], {x, 0, n}]]; (* Michael Somos, Jul 30 2018 *) PROG (PARI) a(n)=numerator(polhermite(n, 8/29)) \\ Charles R Greathouse IV, Jan 29 2016 (MAGMA) [Numerator((&+[(-1)^k*Factorial(n)*(16/29)^(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 (GAP) List(List([0..15], n->Sum([0..Int(n/2)], k->(-1)^k*Factorial(n)*(16/29)^(n-2*k)/(Factorial(k)*Factorial(n-2*k)))), NumeratorRat); # Muniru A Asiru, Jul 12 2018 CROSSREFS Cf. A009973 (denominators). Sequence in context: A057994 A221607 A330335 * A106176 A263975 A193128 Adjacent sequences:  A160248 A160249 A160250 * A160252 A160253 A160254 KEYWORD sign,frac AUTHOR N. J. A. Sloane, Nov 12 2009 STATUS approved

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Last modified May 13 10:56 EDT 2021. Contains 343839 sequences. (Running on oeis4.)