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A006465
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Continued fraction for 4^5*Sum {0..inf} 1/4^(2^n).
(Formerly M5437)
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2
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324, 63, 1, 1023, 64, 1023, 1, 63, 1023, 1, 63, 1023, 1, 62, 1, 1023, 63, 1, 1023, 64, 1023, 1, 63, 1023, 1, 62, 1, 1023, 64, 1023, 1, 63, 1023, 1, 62, 1, 1023, 63, 1, 1023, 63, 1, 1023, 64, 1023, 1
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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REFERENCES
| Shallit, Jeffrey; Simple continued fractions for some irrational numbers. J. Number Theory 11 (1979), no. 2, 209-217.
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
| Harry J. Smith, Table of n, a(n) for n=0,...,20000
J. O. Shallit, Simple continued fractions for some irrational numbers. J. Number Theory 11 (1979), no. 2, 209-217.
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EXAMPLE
| 324.015625238418579157... = 324 + 1/(63 + 1/(1 + 1/(1023 + 1/(64 + ...)))) [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), May 12 2009]
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PROG
| (PARI) { allocatemem(932245000); default(realprecision, 66000); x=4^5*suminf(n=0, 1/4^(2^n)); x=contfrac(x); for (n=1, 20001, write("b006465.txt", n-1, " ", x[n])); } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), May 12 2009]
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CROSSREFS
| Cf. A160387 = Decimal expansion. [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), May 12 2009]
Sequence in context: A094409 A202984 A110709 * A088214 A117550 A045287
Adjacent sequences: A006462 A006463 A006464 * A006466 A006467 A006468
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KEYWORD
| nonn,cofr
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
| Better description from Antonio G. Astudillo (afg_astudillo(AT)hotmail.com), Dec 02 2002
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