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A159450
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Numerator of Hermite(n, 7/11).
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1
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1, 14, -46, -7420, -70484, 6195784, 172026616, -6587905744, -383643767920, 7383172769504, 938940545302816, -4722110467960256, -2565569278147539776, -22204961095108973440, 7760411493720634507136, 183876169102318085114624, -25596027354773450069298944
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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,7/11).
E.g.f.: exp(14*x-121*x^2).
a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(14/11)^(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)*(14/11)^(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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