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A040552
Continued fraction for sqrt(577).
4
24, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48
OFFSET
0,1
FORMULA
From Elmo R. Oliveira, Feb 15 2024: (Start)
a(n) = 48 for n >= 1.
G.f.: 24*(1+x)/(1-x).
E.g.f.: 48*exp(x) - 24.
a(n) = 24*A040000(n) = 12*A040002(n) = 8*A040006(n). (End)
EXAMPLE
24 + 1/(48 + 1/(48 + 1/(48 + 1/(48 + ...)))) = sqrt(577).
MAPLE
with(numtheory): Digits := 300: convert(evalf(sqrt(577)), confrac);
CROSSREFS
Cf. A042104/A042105 (convergents).
Sequence in context: A028992 A220515 A215148 * A199545 A098427 A335142
KEYWORD
nonn,cofr,easy,less
STATUS
approved