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A040382 Continued fraction for sqrt(403). 2
20, 13, 2, 1, 3, 1, 3, 1, 2, 13, 40, 13, 2, 1, 3, 1, 3, 1, 2, 13, 40, 13, 2, 1, 3, 1, 3, 1, 2, 13, 40, 13, 2, 1, 3, 1, 3, 1, 2, 13, 40, 13, 2, 1, 3, 1, 3, 1, 2, 13, 40, 13, 2, 1, 3, 1, 3, 1, 2, 13, 40, 13, 2, 1, 3, 1, 3, 1, 2, 13, 40, 13, 2, 1, 3, 1, 3, 1, 2, 13, 40 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Table of n, a(n) for n=0..80.

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, 1).

FORMULA

a(n)=(1/450)*{-1136*(n mod 10)-416*[(n+1) mod 10]+34*[(n+2) mod 10]+169*[(n+3) mod 10]-11*[(n+4) mod 10]+169*[(n+5) mod 10]-11*[(n+6) mod 10]+124*[(n+7) mod 10]+574*[(n+8) mod 10]+1294*[(n+9) mod 10]}-20*[C(2*n,n) mod 2], with n>=0 [From Paolo P. Lava, Apr 29 2009]

MAPLE

with(numtheory): Digits := 300: convert(evalf(sqrt(403)), confrac);

MATHEMATICA

ContinuedFraction[Sqrt[403], 120]  (* Harvey P. Dale, Apr 22 2011 *)

CROSSREFS

Sequence in context: A073868 A215028 A292558 * A223283 A327788 A076119

Adjacent sequences:  A040379 A040380 A040381 * A040383 A040384 A040385

KEYWORD

nonn,cofr,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified April 11 22:16 EDT 2021. Contains 342895 sequences. (Running on oeis4.)