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A040756 Continued fraction for sqrt(785). 5
28, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,1
LINKS
FORMULA
From Elmo R. Oliveira, Feb 16 2024: (Start)
a(n) = 56 for n >= 1.
G.f.: 28*(1+x)/(1-x).
E.g.f.: 56*exp(x) - 28.
a(n) = 28*A040000(n) = 14*A040002(n) = 7*A040012(n). (End)
EXAMPLE
28 + 1/(56 + 1/(56 + 1/(56 + 1/(56 + ...)))) = sqrt(785).
MAPLE
with(numtheory): Digits := 300: convert(evalf(sqrt(785)), confrac);
MATHEMATICA
Block[{$MaxExtraPrecision =1000}, ContinuedFraction[Sqrt[785], 70]] (* or *) PadRight[{28}, 70, 56] (* Harvey P. Dale, May 09 2012 *)
CROSSREFS
Cf. A042512/A042513 (convergents).
Sequence in context: A068129 A079731 A119168 * A135628 A204646 A211491
KEYWORD
nonn,cofr,easy
AUTHOR
STATUS
approved

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Last modified March 29 09:59 EDT 2024. Contains 371268 sequences. (Running on oeis4.)