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A040462
Continued fraction for sqrt(485).
5
22, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44
OFFSET
0,1
FORMULA
From Elmo R. Oliveira, Feb 15 2024: (Start)
a(n) = 44 for n >= 1.
G.f.: 22*(1+x)/(1-x).
E.g.f.: 44*exp(x) - 22.
a(n) = 22*A040000(n) = 11*A040002(n) = 2*A040110(n). (End)
EXAMPLE
22 + 1/(44 + 1/(44 + 1/(44 + 1/(44 + ...)))) = sqrt(485).
MAPLE
with(numtheory): Digits := 300: convert(evalf(sqrt(485)), confrac);
CROSSREFS
Cf. A041924/A041925 (convergents).
Sequence in context: A305609 A123799 A138842 * A269310 A015799 A008604
KEYWORD
nonn,cofr,easy,less
STATUS
approved