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A040296 Continued fraction for sqrt(314). 1
17, 1, 2, 1, 1, 2, 1, 34, 1, 2, 1, 1, 2, 1, 34, 1, 2, 1, 1, 2, 1, 34, 1, 2, 1, 1, 2, 1, 34, 1, 2, 1, 1, 2, 1, 34, 1, 2, 1, 1, 2, 1, 34, 1, 2, 1, 1, 2, 1, 34, 1, 2, 1, 1, 2, 1, 34, 1, 2, 1, 1, 2, 1, 34, 1, 2, 1, 1, 2, 1, 34, 1, 2, 1, 1, 2, 1, 34, 1, 2, 1, 1, 2, 1, 34, 1, 2 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Table of n, a(n) for n=0..86.

Index entries for continued fractions for constants

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

FORMULA

a(n)=(1/7)*{-31*(n mod 7)+3*[(n+1) mod 7]+[(n+2) mod 7]+2*[(n+3) mod 7]+3*[(n+4) mod 7]+[(n+5) mod 7]+35*[(n+6) mod 7]}-17*[C(2*n,n) mod 2], with n>=0 [From Paolo P. Lava, Apr 27 2009]

MAPLE

with(numtheory): Digits := 300: convert(evalf(sqrt(314)), confrac);

CROSSREFS

Sequence in context: A015143 A172196 A056110 * A040297 A239866 A040295

Adjacent sequences:  A040293 A040294 A040295 * A040297 A040298 A040299

KEYWORD

nonn,cofr,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified February 15 22:28 EST 2019. Contains 320138 sequences. (Running on oeis4.)