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A040429 Continued fraction for sqrt(451). 0
21, 4, 4, 2, 8, 21, 8, 2, 4, 4, 42, 4, 4, 2, 8, 21, 8, 2, 4, 4, 42, 4, 4, 2, 8, 21, 8, 2, 4, 4, 42, 4, 4, 2, 8, 21, 8, 2, 4, 4, 42, 4, 4, 2, 8, 21, 8, 2, 4, 4, 42, 4, 4, 2, 8, 21, 8, 2, 4, 4, 42, 4, 4, 2, 8, 21, 8, 2, 4, 4, 42, 4, 4, 2, 8, 21, 8, 2, 4, 4, 42, 4, 4, 2, 8 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Table of n, a(n) for n=0..84.

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)=(1/50)*{-179*(n mod 10)+11*[(n+1) mod 10]+[(n+2) mod 10]+41*[(n+3) mod 10]+76*[(n+4) mod 10]-54*[(n+5) mod 10]-19*[(n+6) mod 10]+21*[(n+7) mod 10]+11*[(n+8) mod 10]+201*[(n+9) mod 10]}-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(451)), confrac);

MATHEMATICA

ContinuedFraction[Sqrt[451], 120] (* or *) PadRight[{21}, 120, {42, 4, 4, 2, 8, 21, 8, 2, 4, 4}] (* Harvey P. Dale, Jun 14 2014 *)

CROSSREFS

Sequence in context: A018855 A263277 A040428 * A082128 A034082 A040427

Adjacent sequences:  A040426 A040427 A040428 * A040430 A040431 A040432

KEYWORD

nonn,cofr,easy,less

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified August 18 16:08 EDT 2019. Contains 326108 sequences. (Running on oeis4.)