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A159280
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Numerator of Hermite(n, 1/11).
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25
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1, 2, -238, -1444, 169900, 1737592, -202103816, -2927191216, 336509481872, 6340061157920, -720237529201376, -16783423060569152, 1883705456612924608, 52506471481118666624, -5821124423542023483520, -189534174225114089489152, 20751613309007317066199296
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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,1/11).
E.g.f.: exp(2*x-121*x^2).
a(n) = Sum_{k=0..floor(n/2)} (-1)^k*n!*(2/11)^(n-2k)/(k!*(n-2k)!). (End)
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MATHEMATICA
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PROG
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(PARI) a(n)=numerator(polhermite(n, 1/11)) \\ G. C. Greubel, Jun 08 2018
(Python)
from sympy import hermite
(Magma) [Numerator((&+[(-1)^k*Factorial(n)*(2/22)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // G. C. Greubel, Jun 08 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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