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A040424 Continued fraction for sqrt(446). 0
21, 8, 2, 2, 1, 3, 1, 1, 20, 1, 1, 3, 1, 2, 2, 8, 42, 8, 2, 2, 1, 3, 1, 1, 20, 1, 1, 3, 1, 2, 2, 8, 42, 8, 2, 2, 1, 3, 1, 1, 20, 1, 1, 3, 1, 2, 2, 8, 42, 8, 2, 2, 1, 3, 1, 1, 20, 1, 1, 3, 1, 2, 2, 8, 42, 8, 2, 2, 1, 3, 1, 1, 20, 1, 1, 3, 1, 2, 2, 8, 42, 8, 2, 2, 1, 3, 1, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Table of n, a(n) for n=0..87.

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, 0, 0, 1).

FORMULA

a(n)=(1/960)*{-1991*(n mod 16)-311*[(n+1) mod 16]+49*[(n+2) mod 16]-11*[(n+3) mod 16]+169*[(n+4) mod 16]-71*[(n+5) mod 16]+49*[(n+6) mod 16]+1189*[(n+7) mod 16]-1091*[(n+8) mod 16]+49*[(n+9) mod 16]+169*[(n+10) mod 16]-71*[(n+11) mod 16]+109*[(n+12) mod 16]+49*[(n+13) mod 16]+409*[(n+14) mod 16]+2089*[(n+15) mod 16]}-21*[C(2*n,n) mod 2], with n>=0 [From Paolo P. Lava, Apr 30 2009]

MAPLE

with(numtheory): Digits := 300: convert(evalf(sqrt(446)), confrac);

MATHEMATICA

ContinuedFraction[Sqrt[446], 100] (* Harvey P. Dale, Oct 29 2012 *)

CROSSREFS

Sequence in context: A070988 A040426 A040425 * A220132 A146375 A040423

Adjacent sequences:  A040421 A040422 A040423 * A040425 A040426 A040427

KEYWORD

nonn,cofr,easy,less

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified August 23 01:06 EDT 2019. Contains 326211 sequences. (Running on oeis4.)