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A040392 Continued fraction for sqrt(413). 2
20, 3, 9, 1, 4, 1, 9, 3, 40, 3, 9, 1, 4, 1, 9, 3, 40, 3, 9, 1, 4, 1, 9, 3, 40, 3, 9, 1, 4, 1, 9, 3, 40, 3, 9, 1, 4, 1, 9, 3, 40, 3, 9, 1, 4, 1, 9, 3, 40, 3, 9, 1, 4, 1, 9, 3, 40, 3, 9, 1, 4, 1, 9, 3, 40, 3, 9, 1, 4, 1, 9, 3, 40, 3, 9, 1, 4, 1, 9, 3, 40, 3, 9, 1, 4, 1, 9, 3 (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, 1).

EXAMPLE

a(n)=(1/16)*{-69*(n mod 8)+17*[(n+1) mod 8]-11*[(n+2) mod 8]+11*[(n+3) mod 8]-[(n+4) mod 8]+21*[(n+5) mod 8]-7*[(n+6) mod 8]+79*[(n+7) mod 8]}-20*[C(2*n,n) mod 2], with n>=0 [From Paolo P. Lava, Apr 30 2009]

MAPLE

with(numtheory): Digits := 300: convert(evalf(sqrt(413)), confrac);

MATHEMATICA

ContinuedFraction[Sqrt[413], 100] (* or *) PadRight[{20}, 100, {40, 3, 9, 1, 4, 1, 9, 3}] (* Harvey P. Dale, Feb 11 2015 *)

CROSSREFS

Sequence in context: A118295 A070645 A248136 * A317320 A327701 A040388

Adjacent sequences:  A040389 A040390 A040391 * A040393 A040394 A040395

KEYWORD

nonn,cofr,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified October 14 14:45 EDT 2019. Contains 328019 sequences. (Running on oeis4.)