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A159326
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Numerator of Hermite(n, 4/11).
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1
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1, 8, -178, -5296, 86860, 5821408, -58529336, -8920919104, 27781342352, 17493150124160, 79437437350624, -41697923801662208, -545045848640658752, 116730403930901782016, 2648557471270726689920, -374294148747729423950848, -12608616810694573276016384
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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, 8/11).
E.g.f.: exp(8*x - 121*x^2).
a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(8/11)^(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)*(8/11)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // G. C. Greubel, Jun 26 2018
(Magma) I:=[1, 8]; [n le 2 select I[n] else 8*Self(n-1)-242*(n-2)*Self(n-2): n in [1..25]]; // Vincenzo Librandi, Jun 27 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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