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A159508
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Numerator of Hermite(n, 3/14).
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4
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1, 3, -89, -855, 23601, 405963, -10346601, -269746047, 6288530145, 230346491283, -4855444114041, -240305893799463, 4513251073537809, 296139484328781915, -4861463414700822921, -420887762743191256143, 5883687931380635925441, 677603075775465797408547
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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) = 7^n * Hermite(n,3/14).
E.g.f.: exp(3*x-49*x^2).
a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(3/7)^(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)*(3/7)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // G. C. Greubel, Jun 10 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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