A040702 Continued fraction for sqrt(730).
27, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54
Offset: 0
Examples
27 + 1/(54 + 1/(54 + 1/(54 + 1/(54 + ...)))) = sqrt(730).
Links
Programs
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Maple
with(numtheory): Digits := 300: convert(evalf(sqrt(730)),confrac);
Formula
From Elmo R. Oliveira, Feb 15 2024: (Start)
a(n) = 54 for n >= 1.
G.f.: 27*(1+x)/(1-x).
E.g.f.: 54*exp(x) - 27.