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A159279
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Numerator of Hermite(n, 9/10).
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1
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1, 9, 31, -621, -10239, 32049, 2848191, 16019019, -852695679, -14081868711, 256976237151, 9353720489859, -57153446024319, -6126613308134271, -17989779857401089, 4126721296977379899, 50632826565847235841, -2845681598489278796631
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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) = 5^n * Hermite(n, 9/10).
E.g.f.: exp(9*x - 25*x^2).
a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(9/5)^(n-2*k)/(k!*(n-2*k)!)). (End)
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MATHEMATICA
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Table[5^n*HermiteH[n, 9/10], {n, 0, 30}] (* G. C. Greubel, Jun 27 2018 *)
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PROG
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(Magma) [Numerator((&+[(-1)^k*Factorial(n)*(9/5)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // G. C. Greubel, Jun 27 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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