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A159968
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Numerator of Hermite(n, 11/24).
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1
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1, 11, -167, -8173, 54385, 10013531, 31834441, -16953202717, -250663462943, 36302880967595, 1049051386591801, -93012731934163789, -4346534843998627247, 273640118280485155067, 19283467757016197118505, -891198811579737976926589, -93107767637687089298134079
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OFFSET
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0,2
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LINKS
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FORMULA
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a(n) = 12^n * Hermite(n, 11/24).
E.g.f.: exp(11*x - 144*x^2).
a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(11/12)^(n-2*k)/(k!*(n-2*k)!)). (End)
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EXAMPLE
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Numerators of 1, 11/12, -167/144, -8173/1728, 54385/20736, ...
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MATHEMATICA
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Numerator[HermiteH[Range[0, 20], 11/24]] (* Harvey P. Dale, Mar 27 2013 *)
Table[12^n*HermiteH[n, 11/12], {n, 0, 30}] (* G. C. Greubel, Jul 16 2018 *)
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PROG
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(PARI) x='x+O('x^30); Vec(serlaplace(exp(11*x - 144*x^2))) \\ G. C. Greubel, Jul 16 2018
(Magma) [Numerator((&+[(-1)^k*Factorial(n)*(11/12)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // G. C. Greubel, Jul 16 2018
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CROSSREFS
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KEYWORD
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sign,frac
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AUTHOR
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STATUS
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approved
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