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Search: id:A062073
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| A062073 |
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Decimal expansion of Fibonacci factorial constant. |
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+0
3
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| 1, 2, 2, 6, 7, 4, 2, 0, 1, 0, 7, 2, 0, 3, 5, 3, 2, 4, 4, 4, 1, 7, 6, 3, 0, 2, 3, 0, 4, 5, 5, 3, 6, 1, 6, 5, 5, 8, 7, 1, 4, 0, 9, 6, 9, 0, 4, 4, 0, 2, 5, 0, 4, 1, 9, 6, 4, 3, 2, 9, 7, 3, 0, 1, 2, 1, 4, 0, 2, 2, 1, 3, 8, 3, 1, 5, 3, 1, 2, 1, 6, 8, 4, 5, 2, 6, 2, 1, 5, 6, 2, 4, 9, 4, 7, 9, 7, 7, 4, 1, 2, 5, 9, 1, 3
(list; cons; graph; listen)
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OFFSET
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1,2
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REFERENCES
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S. R. Finch, Mathematical Constants, Cambridge, 2003, Section 1.2.5.
R. Graham, D. E. Knuth and O. Patashnik, Concrete Mathematics, Addison Wesley, 1990, pp. 478, 571.
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LINKS
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Harry J. Smith, Table of n, a(n) for n=1,...,5000
Simon Plouffe, Plouffe's Inverter
Eric Weisstein's World of Mathematics, Fibonacci Factorial Constant
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FORMULA
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C = (1-a)*(1-a^2)*(1-a^3)... 1.2267420... where a = -1/phi^2 and where phi is the Golden ratio = 1/2 + sqrt(5)/2.
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EXAMPLE
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1.2267420107203532444176302...
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PROGRAM
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(PARI) \p 1300 a=-1/(1/2+sqrt(5)/2)^2; prod(n=1, 17000, (1-a^n))
(PARI) { default(realprecision, 5080); p=-1/(1/2 + sqrt(5)/2)^2; x=prodinf(k=1, 1-p^k); for (n=1, 5000, d=floor(x); x=(x-d)*10; write("b062073.txt", n, " ", d)) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jul 31 2009]
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CROSSREFS
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Cf. A062072.
Sequence in context: A081123 A056038 A076929 this_sequence A021445 A011145 A079811
Adjacent sequences: A062070 A062071 A062072 this_sequence A062074 A062075 A062076
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KEYWORD
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easy,nonn,cons
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AUTHOR
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Jason Earls (zevi_35711(AT)yahoo.com), Jun 27 2001
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