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A040301 Continued fraction for sqrt(319). 0
17, 1, 6, 5, 1, 4, 3, 1, 3, 4, 1, 5, 6, 1, 34, 1, 6, 5, 1, 4, 3, 1, 3, 4, 1, 5, 6, 1, 34, 1, 6, 5, 1, 4, 3, 1, 3, 4, 1, 5, 6, 1, 34, 1, 6, 5, 1, 4, 3, 1, 3, 4, 1, 5, 6, 1, 34, 1, 6, 5, 1, 4, 3, 1, 3, 4, 1, 5, 6, 1, 34, 1, 6, 5, 1, 4, 3, 1, 3, 4, 1, 5, 6, 1, 34, 1, 6, 5, 1, 4 (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, 0, 0, 0, 1).

FORMULA

a(n)=(1/1274)*{-2928*(n mod 14)+530*[(n+1) mod 14]-16*[(n+2) mod 14]-289*[(n+3) mod 14]+348*[(n+4) mod 14]-16*[(n+5) mod 14]-107*[(n+6) mod 14]+257*[(n+7) mod 14]+166*[(n+8) mod 14]-198*[(n+9) mod 14]+439*[(n+10) mod 14]+166*[(n+11) mod 14]-380*[(n+12) mod 14]+3078*[(n+13) mod 14]}-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(319)), confrac);

CROSSREFS

Sequence in context: A040298 A040300 A040299 * A175960 A040302 A269481

Adjacent sequences:  A040298 A040299 A040300 * A040302 A040303 A040304

KEYWORD

nonn,cofr,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified October 18 00:21 EDT 2019. Contains 328135 sequences. (Running on oeis4.)