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A040110 Continued fraction for sqrt(122). 5
11, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,1
LINKS
FORMULA
From Elmo R. Oliveira, Feb 11 2024: (Start)
a(n) = 22 for n >= 1.
G.f.: 11*(1+x)/(1-x).
E.g.f.: 22*exp(x) - 11.
a(n) = 11*A040000(n). (End)
EXAMPLE
11 + 1/(22 + 1/(22 + 1/(22 + 1/(22 + ...)))) = sqrt(122).
MAPLE
Digits := 100: convert(evalf(sqrt(N)), confrac, 90, 'cvgts'):
MATHEMATICA
ContinuedFraction[Sqrt[122], 300] (* Vladimir Joseph Stephan Orlovsky, Mar 12 2011*)
CROSSREFS
Cf. A040000, A041220/A041221 (convergents).
Sequence in context: A138838 A139337 A231115 * A140452 A048136 A180054
KEYWORD
nonn,cofr,easy
AUTHOR
STATUS
approved

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Last modified April 18 13:50 EDT 2024. Contains 371780 sequences. (Running on oeis4.)