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A160285
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Numerator of Hermite(n, 23/29).
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1
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1, 46, 434, -134780, -8389844, 520867016, 94518470776, -908740269776, -1154662527326320, -40886467186904864, 15598503848068208416, 1405241555094877399616, -223962406662593631730496, -38665666254514312493452160, 3118541336376613976720226176
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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) = 29^n * Hermite(n, 23/29).
E.g.f.: exp(46*x - 841*x^2).
a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(46/29)^(n-2*k)/(k!*(n-2*k)!)). (End)
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EXAMPLE
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Numerators of 1, 46/29, 434/841, -134780/24389, -8389844/707281, ...
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MATHEMATICA
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Numerator[HermiteH[Range[0, 20], 23/29]] (* Harvey P. Dale, Sep 28 2015 *)
Table[29^n*HermiteH[n, 23/29], {n, 0, 30}] (* G. C. Greubel, Oct 03 2018 *)
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PROG
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(PARI) x='x+O('x^30); Vec(serlaplace(exp(46*x - 841*x^2))) \\ G. C. Greubel, Oct 03 2018
(Magma) [Numerator((&+[(-1)^k*Factorial(n)*(46/29)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // G. C. Greubel, Oct 03 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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