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A040454 Continued fraction for sqrt(476). 2
21, 1, 4, 2, 10, 2, 4, 1, 42, 1, 4, 2, 10, 2, 4, 1, 42, 1, 4, 2, 10, 2, 4, 1, 42, 1, 4, 2, 10, 2, 4, 1, 42, 1, 4, 2, 10, 2, 4, 1, 42, 1, 4, 2, 10, 2, 4, 1, 42, 1, 4, 2, 10, 2, 4, 1, 42, 1, 4, 2, 10, 2, 4, 1, 42, 1, 4, 2, 10, 2, 4, 1, 42, 1, 4, 2, 10, 2, 4, 1, 42, 1, 4, 2 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Table of n, a(n) for n=0..83.

Index entries for continued fractions for constants

Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 0, 0, 1).

FORMULA

a(n)=(1/112)*{-541*(n mod 8)+75*[(n+1) mod 8]+5*[(n+2) mod 8]+145*[(n+3) mod 8]-79*[(n+4) mod 8]+61*[(n+5) mod 8]-9*[(n+6) mod 8]+607*[(n+7) mod 8]}-21*[C(2*n,n) mod 2], with n>=0 [From Paolo P. Lava, May 13 2009]

MAPLE

with(numtheory): Digits := 300: convert(evalf(sqrt(476)), confrac);

MATHEMATICA

ContinuedFraction[Sqrt[476], 100] (* or *) PadRight[{21}, 100, {42, 1, 4, 2, 10, 2, 4, 1}] (* Harvey P. Dale, Jun 15 2013 *)

CROSSREFS

Sequence in context: A040453 A040452 A102524 * A040455 A040456 A040457

Adjacent sequences:  A040451 A040452 A040453 * A040455 A040456 A040457

KEYWORD

nonn,cofr,easy,less

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified December 3 15:15 EST 2021. Contains 349463 sequences. (Running on oeis4.)