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Search: id:A006275
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| A006275 |
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A predictable Pierce expansion.
(Formerly M1342)
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+0
7
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| 2, 5, 7, 197, 199, 7761797, 7761799, 467613464999866416197, 467613464999866416199, 102249460387306384473056172738577521087843948916391508591105797
(list; graph; listen)
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OFFSET
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0,1
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
J. O. Shallit, Some predictable Pierce expansions, Fib. Quart., 22 (1984), 332-335.
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LINKS
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J. O. Shallit, Some predictable Pierce expansions, Fib. Quart., 22 (1984), 332-335.
Eric Weisstein's World of Mathematics, Pierce Expansion
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FORMULA
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Let u(0)=1+sqrt(2) and u(n+1)=u(n)/frac(u(n)) where frac(x) is the fractional part of x, then a(n)=floor(u(n)). - Benoit Cloitre (benoit7848c(AT)orange.fr), Mar 09 2004
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EXAMPLE
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Let c(0)=6, c(n+1) = c(n)^3-3*c(n); then this sequence is 2, c(0)-1, c(0)+1, c(1)-1, c(1)+1, c(2)-1, c(2)+1, ...
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PROGRAM
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(PARI) r=1+sqrt(2); for(n=1, 10, r=r/(r-floor(r)); print1(floor(r), ", "))
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CROSSREFS
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Sequence in context: A041445 A041961 A058854 this_sequence A042673 A007571 A062621
Adjacent sequences: A006272 A006273 A006274 this_sequence A006276 A006277 A006278
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KEYWORD
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nonn,easy
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
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More terms from James A. Sellers (sellersj(AT)math.psu.edu), May 19 2000
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