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A026132
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a(n) = T(2n,n), where T is the array in A026120.
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1
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2, 10, 59, 336, 1922, 11033, 63609, 368197, 2138940, 12464893, 72842371, 426718241, 2505168510, 14735555475, 86824155165, 512368756524, 3027798553604, 17914997330328, 106121302605938, 629276226971340, 3735039117674430, 22188639701574873, 131922332486379081, 784931523363580176
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OFFSET
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1,1
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LINKS
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FORMULA
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a(n) ~ sqrt(15509*sqrt(13) + 30577) * (70 + 26*sqrt(13))^n / (2^(3/2) * 13^(1/4) * sqrt(Pi*n) * 3^(3*n + 7/2)). - Vaclav Kotesovec, Sep 19 2019
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MATHEMATICA
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Table[Binomial[2*n, n] * ((2*n + 1)*(Hypergeometric2F1[-1/2 - n/2, -n/2, 2 + n, 4]/(n + 1)) + Hypergeometric2F1[1/2 - n/2, 1 - n/2, 2 + n, 4]/2 - 2*Hypergeometric2F1[1/2 - n/2, -n/2, 2 + n, 4]), {n, 1, 20}] (* Vaclav Kotesovec, Sep 19 2019 *)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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