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A040259 Continued fraction for sqrt(276). 2
16, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 32, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 32, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 32, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 32, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 32, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 32, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 32, 1, 1, 1, 1, 2 (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, 1).

FORMULA

a(n)=(1/396)*{-1000*(n mod 12)+23*[(n+1) mod 12]+23*[(n+2) mod 12]+23*[(n+3) mod 12]+56*[(n+4) mod 12]+23*[(n+5) mod 12]+23*[(n+6) mod 12]-10*[(n+7) mod 12]+23*[(n+8) mod 12]+23*[(n+9) mod 12]+23*[(n+10) mod 12]+1046*[(n+11) mod 12]}-16*[C(2*n,n) mod 2], with n>=0 [From Paolo P. Lava, Apr 20 2009]

MAPLE

with(numtheory): Digits := 300: convert(evalf(sqrt(276)), confrac);

MATHEMATICA

ContinuedFraction[Sqrt[276], 120] (* or *) PadRight[{16}, 120, {32, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1}] (* Harvey P. Dale, Nov 05 2014 *)

CROSSREFS

Sequence in context: A209201 A050467 A008835 * A040260 A040258 A040257

Adjacent sequences:  A040256 A040257 A040258 * A040260 A040261 A040262

KEYWORD

nonn,cofr,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified February 23 05:58 EST 2019. Contains 320411 sequences. (Running on oeis4.)