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A160194
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Numerator of Hermite(n, 9/28).
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1
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1, 9, -311, -9855, 277041, 17946009, -381486279, -45642389679, 636016842465, 148858685615529, -904139249676759, -591663300859964511, -1426321263133495791, 2770347275877071597625, 32201658639821938929561, -14913850922254971477399951, -323570411102447744202418239
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OFFSET
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0,2
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LINKS
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G. C. Greubel, Table of n, a(n) for n = 0..417
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FORMULA
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From G. C. Greubel, Jul 12 2018: (Start)
a(n) = 14^n * Hermite(n, 9/28).
E.g.f.: exp(9*x - 196*x^2).
a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(9/14)^(n-2*k)/(k!*(n-2*k)!)). (End)
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EXAMPLE
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Numerators of 1, 9/14, -311/196, -9855/2744, 277041/38416, ...
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MATHEMATICA
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Numerator[Table[HermiteH[n, 9/28], {n, 0, 30}]] (* or *) Table[14^n* HermiteH[n, 9/28], {n, 0, 30}] (* G. C. Greubel, Jul 12 2018 *)
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PROG
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(PARI) a(n)=numerator(polhermite(n, 9/28)) \\ Charles R Greathouse IV, Jan 29 2016
(MAGMA) [Numerator((&+[(-1)^k*Factorial(n)*(9/14)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // G. C. Greubel, Jul 12 2018
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CROSSREFS
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Cf. A001023 (denominators).
Sequence in context: A296802 A231133 A163702 * A217145 A266835 A288324
Adjacent sequences: A160191 A160192 A160193 * A160195 A160196 A160197
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KEYWORD
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sign,frac
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AUTHOR
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N. J. A. Sloane, Nov 12 2009
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STATUS
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approved
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