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A040272
Continued fraction for sqrt(290).
4
17, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34
OFFSET
0,1
FORMULA
From Elmo R. Oliveira, Feb 14 2024: (Start)
a(n) = 34 for n >= 1.
G.f.: 17*(1+x)/(1-x).
E.g.f.: 34*exp(x) - 17.
a(n) = 17*A040000(n). (End)
EXAMPLE
17 + 1/(34 + 1/(34 + 1/(34 + 1/(34 + ...)))) = sqrt(290).
MAPLE
with(numtheory): Digits := 300: convert(evalf(sqrt(290)), confrac);
CROSSREFS
Cf. A040000, A041544/A041545 (convergents).
Sequence in context: A168579 A352981 A135637 * A062054 A164008 A013577
KEYWORD
nonn,cofr,easy
STATUS
approved