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Search: id:A040037
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| A040037 |
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Continued fraction for sqrt(44). |
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+0
3
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| 6, 1, 1, 1, 2, 1, 1, 1, 12, 1, 1, 1, 2, 1, 1, 1, 12, 1, 1, 1, 2, 1, 1, 1, 12, 1, 1, 1, 2, 1, 1, 1, 12, 1, 1, 1, 2, 1, 1, 1, 12, 1, 1, 1, 2, 1, 1, 1, 12, 1, 1, 1, 2, 1, 1, 1, 12, 1, 1, 1, 2, 1, 1, 1, 12, 1, 1, 1, 2, 1, 1, 1, 12, 1, 1, 1, 2, 1
(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)=(1/56)*{-72*(n mod 8)+5*[(n+1) mod 8]+5*[(n+2) mod 8]+12*[(n+3) mod 8]-2*[(n+4) mod 8]+5*[(n+5) mod 8]+5*[(n+6) mod 8]+82*[(n+7) mod 8]}-6*[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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6.633249580710799698229865473... = 6 + 1/(1 + 1/(1 + 1/(1 + 1/(2 + ...)))) [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 05 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, 14000); x=contfrac(sqrt(44)); for (n=0, 20000, write("b040037.txt", n, " ", x[n+1])); } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 05 2009]
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CROSSREFS
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Cf. A010498 Decimal expansion. [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 05 2009]
Sequence in context: A143532 A167155 A080219 this_sequence A009194 A007732 A126795
Adjacent sequences: A040034 A040035 A040036 this_sequence A040038 A040039 A040040
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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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