# Greetings from The On-Line Encyclopedia of Integer Sequences! http://oeis.org/ Search: id:a159545 Showing 1-1 of 1 %I A159545 #15 Sep 08 2022 08:45:43 %S A159545 1,1,-161,-485,77761,392041,-62594369,-443658221,70538356225, %T A159545 645519410641,-102199403965409,-1147940849203829,180971397017155009, %U A159545 2412568407869398585,-378713193710259050369,-5850418342758055041149,914422642373171437355521 %N A159545 Numerator of Hermite(n, 1/18). %H A159545 G. C. Greubel, Table of n, a(n) for n = 0..450 %F A159545 From _G. C. Greubel_, Jun 09 2018: (Start) %F A159545 a(n) = 9^n * Hermite(n,1/18). %F A159545 E.g.f.: exp(x-81*x^2). %F A159545 a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(1/9)^(n-2*k)/(k!*(n-2*k)!)). (End) %t A159545 Numerator[Table[HermiteH[n,1/18],{n,0,30}]] (* _Vladimir Joseph Stephan Orlovsky_, May 20 2011 *) %o A159545 (PARI) a(n)=numerator(polhermite(n,1/18)) \\ _Charles R Greathouse IV_, Jan 29 2016 %o A159545 (Magma) [Numerator((&+[(-1)^k*Factorial(n)*(1/9)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // _G. C. Greubel_, Jun 09 2018 %Y A159545 Cf. A159542, A159543, A159544. %K A159545 sign,frac %O A159545 0,3 %A A159545 _N. J. A. Sloane_, Nov 12 2009 # Content is available under The OEIS End-User License Agreement: http://oeis.org/LICENSE