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A159449
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Numerator of Hermite(n, 6/11).
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1
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1, 12, -98, -6984, -12660, 6608592, 94621704, -8460215136, -261811748208, 13237235524800, 729072813894624, -23285236203280512, -2220214665026855232, 40977749954004344064, 7476528335622538688640, -49114276816696253425152, -27729169180110170480865024
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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) = 11^n * Hermite(n,6/11).
E.g.f.: exp(12*x-121*x^2).
a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(12/11)^(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)*(12/11)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // G. C. Greubel, Jun 15 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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