A040210 Continued fraction for sqrt(226).
15, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30
Offset: 0
Examples
15 + 1/(30 + 1/(30 + 1/(30 + 1/(30 + ...)))) = sqrt(226).
Links
Programs
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Maple
with(numtheory): Digits := 300: convert(evalf(sqrt(226)),confrac);
Formula
From Elmo R. Oliveira, Feb 13 2024: (Start)
a(n) = 30 for n >= 1.
G.f.: 15*(1+x)/(1-x).
E.g.f.: 30*exp(x) - 15.