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A040526 Continued fraction for sqrt(550). 0
23, 2, 4, 1, 2, 1, 1, 7, 4, 7, 1, 1, 2, 1, 4, 2, 46, 2, 4, 1, 2, 1, 1, 7, 4, 7, 1, 1, 2, 1, 4, 2, 46, 2, 4, 1, 2, 1, 1, 7, 4, 7, 1, 1, 2, 1, 4, 2, 46, 2, 4, 1, 2, 1, 1, 7, 4, 7, 1, 1, 2, 1, 4, 2, 46, 2, 4, 1, 2, 1, 1, 7, 4, 7, 1, 1, 2, 1, 4, 2, 46, 2, 4, 1, 2, 1, 1, 7, 4, 7 (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, 0, 0, 1).

FORMULA

a(n)=(1/960)*{-2597*(n mod 16)+163*[(n+1) mod 16]-137*[(n+2) mod 16]+103*[(n+3) mod 16]-17*[(n+4) mod 16]+43*[(n+5) mod 16]+403*[(n+6) mod 16]-137*[(n+7) mod 16]+223*[(n+8) mod 16]-317*[(n+9) mod 16]+43*[(n+10) mod 16]+103*[(n+11) mod 16]-17*[(n+12) mod 16]+223*[(n+13) mod 16]-77*[(n+14) mod 16]+2638*[(n+15) mod 16]}-23*[C(2*n,n) mod 2], with n>=0 [From Paolo P. Lava, May 14 2009]

MAPLE

with(numtheory): Digits := 300: convert(evalf(sqrt(550)), confrac);

MATHEMATICA

ContinuedFraction[Sqrt[550], 100] (* or *) PadRight[{23}, 100, {46, 2, 4, 1, 2, 1, 1, 7, 4, 7, 1, 1, 2, 1, 4, 2}] (* Harvey P. Dale, Mar 30 2018 *)

CROSSREFS

Sequence in context: A253253 A225003 A040525 * A040527 A107809 A040528

Adjacent sequences:  A040523 A040524 A040525 * A040527 A040528 A040529

KEYWORD

nonn,cofr,easy,less

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified December 12 12:30 EST 2019. Contains 329958 sequences. (Running on oeis4.)