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Search: id:A040022
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| A040022 |
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Continued fraction for sqrt(28). |
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+0
2
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| 5, 3, 2, 3, 10, 3, 2, 3, 10, 3, 2, 3, 10, 3, 2, 3, 10, 3, 2, 3, 10, 3, 2, 3, 10, 3, 2, 3, 10, 3, 2, 3, 10, 3, 2, 3, 10, 3, 2, 3, 10, 3, 2, 3, 10, 3, 2, 3, 10, 3, 2, 3, 10, 3, 2, 3, 10, 3, 2, 3, 10, 3, 2, 3, 10, 3, 2, 3, 10, 3, 2, 3, 10
(list; graph; listen)
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OFFSET
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0,1
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LINKS
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Harry J. Smith, Table of n, a(n) for n=0,...,20000
G. Xiao, Contfrac
Index entries for continued fractions for constants
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FORMULA
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a(n)=(1/2)*{-2*(n mod 4)+[(n+1) mod 4]+2*[(n+2) mod 4]+5*[(n+3) mod 4]}-5*C(2*n,n) mod 2], with n>=0 [From Paolo P. Lava (ppl(AT)spl.at), Jun 09 2009]
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EXAMPLE
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5.29150262212918118100323150... = 5 + 1/(3 + 1/(2 + 1/(3 + 1/(10 + ...)))) [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 04 2009]
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MAPLE
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Digits := 100: convert(evalf(sqrt(N)), confrac, 90, 'cvgts'):
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PROGRAM
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(PARI) { allocatemem(932245000); default(realprecision, 25000); x=contfrac(sqrt(28)); for (n=0, 20000, write("b040022.txt", n, " ", x[n+1])); } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 04 2009]
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CROSSREFS
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Cf. A010483 Decimal expansion. [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 04 2009]
Sequence in context: A114344 A088324 A052038 this_sequence A165100 A159935 A165102
Adjacent sequences: A040019 A040020 A040021 this_sequence A040023 A040024 A040025
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KEYWORD
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nonn,cofr,easy
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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