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A159501
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Numerator of Hermite(n, 8/13).
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1
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1, 16, -82, -12128, -110900, 14622656, 421383496, -22912610432, -1363595118448, 40138176712960, 4790267177726176, -59022762446185984, -18754577565924898112, -60676916573068018688, 81436783159504914005120, 1590111699775836488513536, -387442703422276530189741824
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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) = 13^n * Hermite(n,8/13).
E.g.f.: exp(16*x-169*x^2).
a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(16/13)^(n-2*k)/(k!*(n-2*k)!)). (End)
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MATHEMATICA
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PROG
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(Magma) [Numerator((&+[(-1)^k*Factorial(n)*(16/13)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // G. C. Greubel, Jun 12 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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