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A040218 Continued fraction for sqrt(234). 2
15, 3, 2, 1, 2, 1, 2, 3, 30, 3, 2, 1, 2, 1, 2, 3, 30, 3, 2, 1, 2, 1, 2, 3, 30, 3, 2, 1, 2, 1, 2, 3, 30, 3, 2, 1, 2, 1, 2, 3, 30, 3, 2, 1, 2, 1, 2, 3, 30, 3, 2, 1, 2, 1, 2, 3, 30, 3, 2, 1, 2, 1, 2, 3, 30, 3, 2, 1, 2, 1, 2, 3, 30, 3, 2, 1, 2, 1, 2, 3, 30, 3, 2, 1, 2, 1, 2, 3 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Table of n, a(n) for n=0..87.

Index entries for continued fractions for constants

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

FORMULA

a(n)=(1/28)*{-89*(n mod 8)+2*[(n+1) mod 8]+2*[(n+2) mod 8]+9*[(n+3) mod 8]+2*[(n+4) mod 8]+9*[(n+5) mod 8]+9*[(n+6) mod 8]+100*[(n+7) mod 8]}-15*[C(2*n,n) mod 2], with n>=0 [From Paolo P. Lava, Apr 23 2009]

MAPLE

with(numtheory): Digits := 300: convert(evalf(sqrt(234)), confrac);

MATHEMATICA

ContinuedFraction[Sqrt[234], 100] (* Harvey P. Dale, Mar 30 2012 *)

PadRight[{15}, 120, {30, 3, 2, 1, 2, 1, 2, 3}] (* Harvey P. Dale, Mar 04 2016 *)

CROSSREFS

Sequence in context: A040224 A237649 A040217 * A226379 A037924 A174680

Adjacent sequences:  A040215 A040216 A040217 * A040219 A040220 A040221

KEYWORD

nonn,cofr,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified January 17 05:13 EST 2022. Contains 350378 sequences. (Running on oeis4.)