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URL: https://oeis.org/A159505

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A159505
Numerator of Hermite(n, 11/13).
1
1, 22, 146, -11660, -404564, 6863912, 834719224, 4443809392, -1877181877360, -53314061897888, 4537477909175584, 280026043216724288, -10709769915546886976, -1371400569429065225600, 16887916481473586409344, 6861001657130755548544768, 65320299895805538972610816
OFFSET
0,2
LINKS
FORMULA
From G. C. Greubel, Jun 11 2018: (Start)
a(n) = 13^n * Hermite(n,11/13).
E.g.f.: exp(22*x-169*x^2).
a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(22/13)^(n-2*k)/(k!*(n-2*k)!)). (End)
MATHEMATICA
Numerator[Table[HermiteH[n, 11/13], {n, 0, 50}]] (* Vladimir Joseph Stephan Orlovsky, Apr 14 2011 *)
PROG
(PARI) a(n)=numerator(polhermite(n, 11/13)) \\ Charles R Greathouse IV, Jan 29 2016
(Magma) [Numerator((&+[(-1)^k*Factorial(n)*(22/13)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // G. C. Greubel, Jun 11 2018
CROSSREFS
Sequence in context: A200776 A169722 A262139 * A223836 A224144 A225008
KEYWORD
sign,frac
AUTHOR
N. J. A. Sloane, Nov 12 2009
STATUS
approved