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A040656 Continued fraction for sqrt(683). 0
26, 7, 2, 4, 3, 1, 1, 25, 1, 1, 3, 4, 2, 7, 52, 7, 2, 4, 3, 1, 1, 25, 1, 1, 3, 4, 2, 7, 52, 7, 2, 4, 3, 1, 1, 25, 1, 1, 3, 4, 2, 7, 52, 7, 2, 4, 3, 1, 1, 25, 1, 1, 3, 4, 2, 7, 52, 7, 2, 4, 3, 1, 1, 25, 1, 1, 3, 4, 2, 7, 52, 7, 2, 4, 3, 1, 1, 25, 1, 1, 3, 4, 2, 7, 52, 7, 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, 0, 0, 0, 0, 0, 0, 0, 1).

FORMULA

a(n)=(1/1274)*{-3982*(n mod 14)-342*[(n+1) mod 14]+295*[(n+2) mod 14]+22*[(n+3) mod 14]-69*[(n+4) mod 14]+113*[(n+5) mod 14]+2297*[(n+6) mod 14]-2071*[(n+7) mod 14]+113*[(n+8) mod 14]+295*[(n+9) mod 14]+204*[(n+10) mod 14]-69*[(n+11) mod 14]+568*[(n+12) mod 14]+4208*[(n+13) mod 14]}-26*[C(2*n,n) mod 2], with n>=0. - Paolo P. Lava, May 18 2009

MAPLE

with(numtheory): Digits := 300: convert(evalf(sqrt(683)), confrac);

MATHEMATICA

ContinuedFraction[Sqrt[683], 120] (* Harvey P. Dale, Jun 13 2011 *)

CROSSREFS

Sequence in context: A040657 A309073 A277215 * A070661 A040655 A163987

Adjacent sequences:  A040653 A040654 A040655 * A040657 A040658 A040659

KEYWORD

nonn,cofr,easy

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified August 20 20:50 EDT 2019. Contains 326155 sequences. (Running on oeis4.)