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A159831 Numerator of Hermite(n, 9/22). 1
1, 9, -161, -5805, 64641, 6201009, -22406529, -9205523829, -44893054335, 17417856643929, 254537782136991, -39860373039075261, -1036322933400347391, 106427616904871431425, 4218120500621335774911, -322613681568112387693701, -18215300551368460352170239 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
LINKS
FORMULA
From G. C. Greubel, Jul 11 2018: (Start)
a(n) = 11^n * Hermite(n, 9/22).
E.g.f.: exp(9*x - 121*x^2).
a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(9/11)^(n-2*k)/(k!*(n-2*k)!)). (End)
EXAMPLE
Numerators of 1, 9/11, -161/121, -5805/1331, 64641/14641, ...
MATHEMATICA
Numerator[Table[HermiteH[n, 9/22], {n, 0, 30}]] (* Vladimir Joseph Stephan Orlovsky, Jun 17 2011 *)
Table[11^n*HermiteH[n, 9/22], {n, 0, 30}] (* G. C. Greubel, Jul 11 2018 *)
PROG
(PARI) a(n)=numerator(polhermite(n, 9/22)) \\ Charles R Greathouse IV, Jan 29 2016
(Magma) [Numerator((&+[(-1)^k*Factorial(n)*(9/11)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // G. C. Greubel, Jul 11 2018
CROSSREFS
Cf. A001020 (denominators).
Sequence in context: A243682 A367160 A337152 * A133793 A319197 A209962
KEYWORD
sign,frac
AUTHOR
N. J. A. Sloane, Nov 12 2009
STATUS
approved

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Last modified March 19 01:57 EDT 2024. Contains 370952 sequences. (Running on oeis4.)