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A094938
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a(n)=(-36^n/18)*B(2n,1/6)/B(2n,1/3) where B(n,x) is the n-th Bernoulli polynomial.
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0
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1, 63, 2511, 92583, 3352671, 120873303, 4353033231, 156723545223, 5642176768191, 203119525916343, 7312313393341551, 263243376303474663, 9476762394213697311, 341163453817290588183, 12281884406052838539471
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OFFSET
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1,2
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LINKS
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FORMULA
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a(n)=9^n/18*(4^n-2)
G.f.: x*(1+18*x) / ( (36*x-1)*(9*x-1) ). - R. J. Mathar, Nov 15 2019
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MATHEMATICA
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LinearRecurrence[{45, -324}, {1, 63}, 20] (* Harvey P. Dale, Mar 09 2018 *)
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PROG
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(PARI) B(n, x)=sum(i=0, n, binomial(n, i)*bernfrac(i)*x^(n-i)); a(n)=(-36^n/18)*B(n, 1/6)/B(n, 1/3)
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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