A040812 Continued fraction for sqrt(842).

29, 58, 58, 58, 58, 58, 58, 58, 58, 58, 58, 58, 58, 58, 58, 58, 58, 58, 58, 58, 58, 58, 58, 58, 58, 58, 58, 58, 58, 58, 58, 58, 58, 58, 58, 58, 58, 58, 58, 58, 58, 58, 58, 58, 58, 58, 58, 58, 58, 58, 58, 58, 58, 58, 58, 58, 58, 58, 58, 58, 58, 58, 58

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 16 2024: (Start)

a(n) = 58 for n >= 1.

G.f.: 29*(1+x)/(1-x).

E.g.f.: 58*exp(x) - 29.

a(n) = 29*A040000(n). (End)

Example

29 + 1/(58 + 1/(58 + 1/(58 + 1/(58 + ...)))) = sqrt(842).

Maple

with(numtheory): Digits := 300: convert(evalf(sqrt(842)), confrac);

Crossrefs

Cf. A040000, A042624/A042625 (convergents).

Sequence in context: A192358 A123848 A340669 * A184081 A333912 A333913

Adjacent sequences: A040809 A040810 A040811 * A040813 A040814 A040815

Keyword

nonn,cofr,easy

Author

N. J. A. Sloane

Status

approved