A040506 Continued fraction for sqrt(530).

23, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46

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 15 2024: (Start)

a(n) = 46 for n >= 1.

G.f.: 23*(1+x)/(1-x).

E.g.f.: 46*exp(x) - 23.

a(n) = 23*A040000(n). (End)

Example

23 + 1/(46 + 1/(46 + 1/(46 + 1/(46 + ...)))) = sqrt(530).

Maple

with(numtheory): Digits := 300: convert(evalf(sqrt(530)), confrac);

Crossrefs

Cf. A040000, A042012/A042013 (convergents).

Sequence in context: A030656 A122041 A266706 * A081329 A323046 A025022

Adjacent sequences: A040503 A040504 A040505 * A040507 A040508 A040509

Keyword

nonn,cofr,easy,less

Author

N. J. A. Sloane

Status

approved