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A113555
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n-th digit after decimal of the successive approximation of the golden ratio. n-th digit after decimal of F(n+1)/F(n).
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1
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0, 0, 0, 6, 0, 0, 6, 1, 8, 1, 8, 5, 9, 1, 5, 8, 3, 9, 5, 5, 3, 3, 4, 2, 4, 7, 7, 4, 7, 9, 8, 2, 5, 2, 2, 6, 1, 0, 9, 7, 6, 1, 2, 1, 3, 8, 5, 4, 8, 2, 0, 9, 2, 4, 0, 4, 3, 2, 6, 6, 8, 0, 9, 7, 4, 4, 3, 8, 7, 1, 0, 9, 1, 2, 8, 5, 5, 4, 6, 6, 2, 0, 8, 8, 7, 4, 4, 5, 3, 5, 0, 2, 5, 1, 5, 9, 7, 6, 8
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OFFSET
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1,4
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LINKS
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EXAMPLE
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a(7) = 6, F(8)/F(7) =21/13 = 1.615384 6 153846153846153846153846...
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MATHEMATICA
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i = 1; While[i < 100, Print[N[Fibonacci[i + 1]/Fibonacci[i], i + 4]] i++ ] (McVey)
Array[Function[n, RealDigits[N[Fibonacci[n + 1]/Fibonacci[n], n+3]] // (#[[1, #[[2]] + n]]) &], 100] (* G. C. Greubel, Aug 31 2018 *)
Join[{0}, Table[RealDigits[Fibonacci[n+1]/Fibonacci[n], 10, 200][[1]][[n+1]], {n, 2, 100}]] (* Harvey P. Dale, Mar 02 2023 *)
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CROSSREFS
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KEYWORD
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base,easy,nonn
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AUTHOR
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EXTENSIONS
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More terms from Ryan McVey (rwm185(AT)psu.edu), Jan 24 2006
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STATUS
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approved
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