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A040342
Continued fraction for sqrt(362).
4
19, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38
OFFSET
0,1
FORMULA
From Elmo R. Oliveira, Feb 14 2024: (Start)
a(n) = 38 for n >= 1.
G.f.: 19*(1+x)/(1-x).
E.g.f.: 38*exp(x) - 19.
a(n) = 19*A040000(n). (End)
EXAMPLE
19 + 1/(38 + 1/(38 + 1/(38 + 1/(38 + ...)))) = sqrt(362).
MAPLE
with(numtheory): Digits := 300: convert(evalf(sqrt(362)), confrac);
CROSSREFS
Cf. A040000, A041684/A041685 (convergents).
Sequence in context: A123028 A067205 A196185 * A164009 A235030 A048844
KEYWORD
nonn,cofr,easy
STATUS
approved