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A226765
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Decimal expansion of (13-5*sqrt(5))/2.
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5
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9, 0, 9, 8, 3, 0, 0, 5, 6, 2, 5, 0, 5, 2, 5, 7, 5, 8, 9, 7, 7, 0, 6, 5, 8, 2, 8, 1, 7, 1, 8, 0, 9, 4, 1, 1, 3, 9, 8, 4, 5, 4, 1, 0, 0, 9, 7, 1, 1, 8, 5, 6, 8, 9, 3, 2, 2, 7, 5, 6, 8, 8, 6, 4, 7, 3, 6, 9, 7, 6, 8, 5, 9, 0, 5, 4, 8, 7, 7, 5, 1, 4, 6, 3, 9, 6
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OFFSET
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0,1
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COMMENTS
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(13 - 5*sqrt(5))/2 = limit of -F(n)+(2+F(n+1))(1+F(n+2)))/(3+F(n+3)), where F = A000045 (Fibonacci numbers).
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LINKS
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EXAMPLE
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(13-5*sqrt(5))/2 = 0.9098300562505257589770658281718094113985...
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MATHEMATICA
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f[n_] := Fibonacci[n]; h[n_] := (2 + f[n + 1]) (1 + f[n + 2])/(3 + f[n + 3]); N[h[100] - f[100], 20]; d = RealDigits[(13 - 5*Sqrt[5])/2, 10, 120][[1]]
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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