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A159831
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Numerator of Hermite(n, 9/22).
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1
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1, 9, -161, -5805, 64641, 6201009, -22406529, -9205523829, -44893054335, 17417856643929, 254537782136991, -39860373039075261, -1036322933400347391, 106427616904871431425, 4218120500621335774911, -322613681568112387693701, -18215300551368460352170239
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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, 9/22).
E.g.f.: exp(9*x - 121*x^2).
a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(9/11)^(n-2*k)/(k!*(n-2*k)!)). (End)
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EXAMPLE
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Numerators of 1, 9/11, -161/121, -5805/1331, 64641/14641, ...
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MATHEMATICA
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Table[11^n*HermiteH[n, 9/22], {n, 0, 30}] (* G. C. Greubel, Jul 11 2018 *)
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PROG
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(Magma) [Numerator((&+[(-1)^k*Factorial(n)*(9/11)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // G. C. Greubel, Jul 11 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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