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A040714 Continued fraction for sqrt(742). 1
27, 4, 5, 1, 4, 8, 1, 6, 1, 8, 4, 1, 5, 4, 54, 4, 5, 1, 4, 8, 1, 6, 1, 8, 4, 1, 5, 4, 54, 4, 5, 1, 4, 8, 1, 6, 1, 8, 4, 1, 5, 4, 54, 4, 5, 1, 4, 8, 1, 6, 1, 8, 4, 1, 5, 4, 54, 4, 5, 1, 4, 8, 1, 6, 1, 8, 4, 1, 5, 4, 54, 4, 5, 1, 4, 8, 1, 6, 1, 8, 4, 1, 5, 4, 54, 4, 5, 1, 4, 8 (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)*{-4444*(n mod 14)+197*[(n+1) mod 14]-258*[(n+2) mod 14]+379*[(n+3) mod 14]+470*[(n+4) mod 14]-531*[(n+5) mod 14]+561*[(n+6) mod 14]-349*[(n+7) mod 14]+743*[(n+8) mod 14]-258*[(n+9) mod 14]-167*[(n+10) mod 14]+470*[(n+11) mod 14]+15*[(n+12) mod 14]+4656*[(n+13) mod 14]}-27*[C(2*n,n) mod 2], with n>=0 [From Paolo P. Lava, May 20 2009]

MAPLE

with(numtheory): Digits := 300: convert(evalf(sqrt(742)), confrac);

MATHEMATICA

ContinuedFraction[Sqrt[742], 120]  (* Harvey P. Dale, Apr 24 2011 *)

CROSSREFS

Sequence in context: A018857 A040713 A040712 * A040711 A175240 A204877

Adjacent sequences:  A040711 A040712 A040713 * A040715 A040716 A040717

KEYWORD

nonn,cofr,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified November 20 20:28 EST 2019. Contains 329347 sequences. (Running on oeis4.)