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 A160283 Numerator of Hermite(n, 21/29). 1
 1, 42, 82, -137844, -6203220, 666879192, 80178006264, -3362668542576, -1085247924540528, -332344921799520, 16414524594978933024, 695000074573783113408, -274511530924201328046912, -25557365804013694138997376, 4929059771420011085235888000 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS G. C. Greubel, Table of n, a(n) for n = 0..371 FORMULA From G. C. Greubel, Oct 03 2018: (Start) a(n) = 29^n * Hermite(n, 21/29). E.g.f.: exp(42*x - 841*x^2). a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(42/29)^(n-2*k)/(k!*(n-2*k)!)). (End) EXAMPLE Numerators of 1, 42/29, 82/841, -137844/24389, -6203220/707281, ... MATHEMATICA Table[29^n*HermiteH[n, 21/29], {n, 0, 30}] (* G. C. Greubel, Oct 03 2018 *) PROG (PARI) a(n)=numerator(polhermite(n, 21/29)) \\ Charles R Greathouse IV, Jan 29 2016 (PARI) x='x+O('x^30); Vec(serlaplace(exp(42*x - 841*x^2))) \\ G. C. Greubel, Oct 03 2018 (MAGMA) [Numerator((&+[(-1)^k*Factorial(n)*(42/29)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // G. C. Greubel, Oct 03 2018 CROSSREFS Cf. A009973 (denominators). Sequence in context: A250381 A153644 A172437 * A325994 A019283 A300603 Adjacent sequences:  A160280 A160281 A160282 * A160284 A160285 A160286 KEYWORD sign,frac AUTHOR N. J. A. Sloane, Nov 12 2009 STATUS approved

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Last modified December 7 18:12 EST 2019. Contains 329847 sequences. (Running on oeis4.)