A040462 Continued fraction for sqrt(485).

22, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 44

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) = 44 for n >= 1.

G.f.: 22*(1+x)/(1-x).

E.g.f.: 44*exp(x) - 22.

a(n) = 22*A040000(n) = 11*A040002(n) = 2*A040110(n). (End)

Example

22 + 1/(44 + 1/(44 + 1/(44 + 1/(44 + ...)))) = sqrt(485).

Maple

with(numtheory): Digits := 300: convert(evalf(sqrt(485)), confrac);

Crossrefs

Cf. A041924/A041925 (convergents).

Cf. A040000, A040002, A040110.

Sequence in context: A305609 A123799 A138842 * A269310 A015799 A008604

Adjacent sequences: A040459 A040460 A040461 * A040463 A040464 A040465

Keyword

nonn,cofr,easy,less

Author

N. J. A. Sloane

Status

approved