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A040299 Continued fraction for sqrt(317). 2
17, 1, 4, 8, 1, 2, 2, 1, 8, 4, 1, 34, 1, 4, 8, 1, 2, 2, 1, 8, 4, 1, 34, 1, 4, 8, 1, 2, 2, 1, 8, 4, 1, 34, 1, 4, 8, 1, 2, 2, 1, 8, 4, 1, 34, 1, 4, 8, 1, 2, 2, 1, 8, 4, 1, 34, 1, 4, 8, 1, 2, 2, 1, 8, 4, 1, 34, 1, 4, 8, 1, 2, 2, 1, 8, 4, 1, 34, 1, 4, 8, 1, 2, 2, 1, 8, 4, 1, 34, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Table of n, a(n) for n=0..89.

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, 1).

FORMULA

a(n)=(1/55)*{-159*(n mod 11)+21*[(n+1) mod 11]+26*[(n+2) mod 11]-29*[(n+3) mod 11]+11*[(n+4) mod 11]+6*[(n+5) mod 11]+[(n+6) mod 11]+41*[(n+7) mod 11]-14*[(n+8) mod 11]-9*[(n+9) mod 11]+171*[(n+10) mod 11]}-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(317)), confrac);

CROSSREFS

Sequence in context: A040295 A040298 A040300 * A040301 A175960 A040302

Adjacent sequences:  A040296 A040297 A040298 * A040300 A040301 A040302

KEYWORD

nonn,cofr,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified October 23 14:45 EDT 2019. Contains 328345 sequences. (Running on oeis4.)