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A159526
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Numerator of Hermite(n, 11/16).
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1
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1, 11, -7, -2893, -29135, 1160731, 31414441, -545882557, -34152047263, 183311218475, 41359581850201, 220317040704211, -55810803797336687, -952325816292371653, 82393593539552158985, 2612897391731003751011, -129453828286899103990079
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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) = 8^n * Hermite(n, 11/16).
E.g.f.: exp(11*x-64*x^2).
a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(11/8)^(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)*(11/8)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // G. C. Greubel, Jun 09 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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