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A040474 Continued fraction for sqrt(497). 2
22, 3, 2, 2, 5, 6, 5, 2, 2, 3, 44, 3, 2, 2, 5, 6, 5, 2, 2, 3, 44, 3, 2, 2, 5, 6, 5, 2, 2, 3, 44, 3, 2, 2, 5, 6, 5, 2, 2, 3, 44, 3, 2, 2, 5, 6, 5, 2, 2, 3, 44, 3, 2, 2, 5, 6, 5, 2, 2, 3, 44, 3, 2, 2, 5, 6, 5, 2, 2, 3, 44, 3, 2, 2, 5, 6, 5, 2, 2, 3, 44, 3, 2, 2, 5, 6, 5, 2, 2, 3 (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, 1).

FORMULA

a(n)=(1/450)*{-1771*(n mod 10)+29*[(n+1) mod 10]+74*[(n+2) mod 10]+209*[(n+3) mod 10]+119*[(n+4) mod 10]+29*[(n+5) mod 10]-61*[(n+6) mod 10]+74*[(n+7) mod 10]+119*[(n+8) mod 10]+1919*[(n+9) mod 10]}-22*[C(2*n,n) mod 2], with n>=0 [From Paolo P. Lava, May 13 2009]

MAPLE

with(numtheory): Digits := 300: convert(evalf(sqrt(497)), confrac);

MATHEMATICA

ContinuedFraction[Sqrt[497], 100] (* Harvey P. Dale, Jan 13 2012 *)

CROSSREFS

Sequence in context: A040483 A210647 A040473 * A040475 A065662 A174735

Adjacent sequences:  A040471 A040472 A040473 * A040475 A040476 A040477

KEYWORD

nonn,cofr,easy,less

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified August 1 22:01 EDT 2021. Contains 346408 sequences. (Running on oeis4.)