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A040245 Continued fraction for sqrt(262). 0
16, 5, 2, 1, 2, 1, 10, 16, 10, 1, 2, 1, 2, 5, 32, 5, 2, 1, 2, 1, 10, 16, 10, 1, 2, 1, 2, 5, 32, 5, 2, 1, 2, 1, 10, 16, 10, 1, 2, 1, 2, 5, 32, 5, 2, 1, 2, 1, 10, 16, 10, 1, 2, 1, 2, 5, 32, 5, 2, 1, 2, 1, 10, 16, 10, 1, 2, 1, 2, 5, 32, 5, 2, 1, 2, 1, 10, 16, 10, 1, 2 (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, 0, 0, 0, 0, 1).

FORMULA

a(n)=(1/1274)*{-2367*(n mod 14)-183*[(n+1) mod 14]-[(n+2) mod 14]+181*[(n+3) mod 14]-[(n+4) mod 14]+909*[(n+5) mod 14]+636*[(n+6) mod 14]-456*[(n+7) mod 14]-729*[(n+8) mod 14]+181*[(n+9) mod 14]-[(n+10) mod 14]+181*[(n+11) mod 14]+363*[(n+12) mod 14]+2547*[(n+13) mod 14]}-16*[C(2*n,n) mod 2], with n>=0 [From Paolo P. Lava, Apr 21 2009]

MAPLE

with(numtheory): Digits := 300: convert(evalf(sqrt(262)), confrac);

MATHEMATICA

ContinuedFraction[Sqrt[262], 120] (* Harvey P. Dale, Mar 13 2014 *)

CROSSREFS

Sequence in context: A245826 A089083 A102411 * A070538 A296336 A198064

Adjacent sequences:  A040242 A040243 A040244 * A040246 A040247 A040248

KEYWORD

nonn,cofr,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified February 20 06:26 EST 2019. Contains 320332 sequences. (Running on oeis4.)