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A040274 Continued fraction for sqrt(292). 2
17, 11, 2, 1, 3, 8, 3, 1, 2, 11, 34, 11, 2, 1, 3, 8, 3, 1, 2, 11, 34, 11, 2, 1, 3, 8, 3, 1, 2, 11, 34, 11, 2, 1, 3, 8, 3, 1, 2, 11, 34, 11, 2, 1, 3, 8, 3, 1, 2, 11, 34, 11, 2, 1, 3, 8, 3, 1, 2, 11, 34, 11, 2, 1, 3, 8, 3, 1, 2, 11, 34, 11, 2, 1, 3, 8, 3, 1, 2, 11, 34 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Table of n, a(n) for n=0..80.

Index entries for continued fractions for constants

Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 1).

FORMULA

a(n)=(1/450)*{-959*(n mod 10)-329*[(n+1) mod 10]+31*[(n+2) mod 10]+166*[(n+3) mod 10]+301*[(n+4) mod 10]-149*[(n+5) mod 10]-14*[(n+6) mod 10]+121*[(n+7) mod 10]+481*[(n+8) mod 10]+1111*[(n+9) mod 10]}-17*[C(2*n,n) mod 2], with n>=0 [From Paolo P. Lava, Apr 24 2009]

MAPLE

with(numtheory): Digits := 300: convert(evalf(sqrt(292)), confrac);

MATHEMATICA

ContinuedFraction[Sqrt[292], 120] (* or *) PadRight[{17}, 120, {34, 11, 2, 1, 3, 8, 3, 1, 2, 11}] (* Harvey P. Dale, Feb 27 2017 *)

CROSSREFS

Sequence in context: A348762 A166524 A106791 * A164064 A279232 A073887

Adjacent sequences: A040271 A040272 A040273 * A040275 A040276 A040277

KEYWORD

nonn,cofr,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified December 1 23:44 EST 2022. Contains 358485 sequences. (Running on oeis4.)