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A134973
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Decimal expansion of (3 divided by golden ratio = 3/phi = 6/(1 + sqrt(5))).
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2
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1, 8, 5, 4, 1, 0, 1, 9, 6, 6, 2, 4, 9, 6, 8, 4, 5, 4, 4, 6, 1, 3, 7, 6, 0, 5, 0, 3, 0, 9, 6, 9, 1, 4, 3, 5, 3, 1, 6, 0, 9, 2, 7, 5, 3, 9, 4, 1, 7, 2, 8, 8, 5, 8, 6, 4, 0, 6, 3, 4, 5, 8, 6, 8, 1, 1, 5, 7, 8, 1, 3, 8, 8, 4, 5, 6, 7, 0, 7, 3, 4, 9, 1, 2, 1, 6, 2, 1, 6, 1, 2, 5, 6, 8
(list; constant; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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LINKS
| J. Sondow, Evaluation of Tachiya's algebraic infinite products involving Fibonacci and Lucas numbers, Diophantine Analysis and Related Fields 2011 - AIP Conference Proceedings, vol. 1385, pp. 97-100.
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FORMULA
| Equals A090550 - 4. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Oct 27 2008]
Equals product_{n=1..infinity} (1 + 1/A192222(n)). [Charles R Greathouse IV, Jun 26, 2011]
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EXAMPLE
| 1.8541019662496845446137605030969143531609275394172885864063458681157...
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PROG
| (PARI) (sqrt(5)-1)*3/2 \\ Charles R Greathouse IV, Jun 26, 2011
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CROSSREFS
| Cf. A001622 (decimal expansion of golden ratio), A090550 (decimal expansion of solution to n/x = x-n for n = 5), A192222 (Fibonacci(2^n + 1)).
Sequence in context: A081885 A019609 A093341 * A030437 A200290 A010525
Adjacent sequences: A134970 A134971 A134972 * A134974 A134975 A134976
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KEYWORD
| cons,nonn,easy
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AUTHOR
| Omar E. Pol (info(AT)polprimos.com), Nov 15 2007
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