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A160067
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Numerator of Hermite(n, 23/25).
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1
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1, 46, 866, -75164, -6705044, 67387976, 45006371896, 1564883287216, -321821122878064, -30452604524550944, 2219667824248876576, 482762276472335122496, -8313367865694637285184, -7623849068906980152558464, -215604829352183231133449344
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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) = 25^n * Hermite(n, 23/25).
E.g.f.: exp(46*x - 625*x^2).
a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(46/25)^(n-2*k)/(k!*(n-2*k)!)). (End)
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EXAMPLE
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Numerators of 1, 46/25, 866/625, -75164/15625, -6705044/390625, ...
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MATHEMATICA
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Table[25^n*HermiteH[n, 23/25], {n, 0, 30}] (* G. C. Greubel, Sep 23 2018 *)
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PROG
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(PARI) x='x+O('x^30); Vec(serlaplace(exp(46*x - 625*x^2))) \\ G. C. Greubel, Sep 23 2018
(Magma) [Numerator((&+[(-1)^k*Factorial(n)*(46/25)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // G. C. Greubel, Sep 23 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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