

A040274


Continued fraction for sqrt(292).


2



17, 11, 2, 1, 3, 8, 3, 1, 2, 11, 34, 11, 2, 1, 3, 8, 3, 1, 2, 11, 34, 11, 2, 1, 3, 8, 3, 1, 2, 11, 34, 11, 2, 1, 3, 8, 3, 1, 2, 11, 34, 11, 2, 1, 3, 8, 3, 1, 2, 11, 34, 11, 2, 1, 3, 8, 3, 1, 2, 11, 34, 11, 2, 1, 3, 8, 3, 1, 2, 11, 34, 11, 2, 1, 3, 8, 3, 1, 2, 11, 34
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OFFSET

0,1


LINKS

Table of n, a(n) for n=0..80.
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)*{959*(n mod 10)329*[(n+1) mod 10]+31*[(n+2) mod 10]+166*[(n+3) mod 10]+301*[(n+4) mod 10]149*[(n+5) mod 10]14*[(n+6) mod 10]+121*[(n+7) mod 10]+481*[(n+8) mod 10]+1111*[(n+9) mod 10]}17*[C(2*n,n) mod 2], with n>=0 [From Paolo P. Lava, Apr 24 2009]


MAPLE

with(numtheory): Digits := 300: convert(evalf(sqrt(292)), confrac);


MATHEMATICA

ContinuedFraction[Sqrt[292], 120] (* or *) PadRight[{17}, 120, {34, 11, 2, 1, 3, 8, 3, 1, 2, 11}] (* Harvey P. Dale, Feb 27 2017 *)


CROSSREFS

Sequence in context: A348762 A166524 A106791 * A164064 A279232 A073887
Adjacent sequences: A040271 A040272 A040273 * A040275 A040276 A040277


KEYWORD

nonn,cofr,easy


AUTHOR

N. J. A. Sloane.


STATUS

approved



