A040342 Continued fraction for sqrt(362).

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

Links

Table of n, a(n) for n=0..62.

Index entries for continued fractions for constants

Index entries for linear recurrences with constant coefficients, signature (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

Adjacent sequences: A040339 A040340 A040341 * A040343 A040344 A040345

Keyword

nonn,cofr,easy

Author

N. J. A. Sloane

Status

approved