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A040431 Continued fraction for sqrt(453). 2
21, 3, 1, 1, 10, 14, 10, 1, 1, 3, 42, 3, 1, 1, 10, 14, 10, 1, 1, 3, 42, 3, 1, 1, 10, 14, 10, 1, 1, 3, 42, 3, 1, 1, 10, 14, 10, 1, 1, 3, 42, 3, 1, 1, 10, 14, 10, 1, 1, 3, 42, 3, 1, 1, 10, 14, 10, 1, 1, 3, 42, 3, 1, 1, 10, 14, 10, 1, 1, 3, 42, 3, 1, 1, 10, 14, 10, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Table of n, a(n) for n=0..77.

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)*{-1669*(n mod 10)-4*[(n+1) mod 10]+86*[(n+2) mod 10]+491*[(n+3) mod 10]+266*[(n+4) mod 10]-94*[(n+5) mod 10]-319*[(n+6) mod 10]+86*[(n+7) mod 10]+176*[(n+8) mod 10]+1841*[(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(453)), confrac);

MATHEMATICA

ContinuedFraction[Sqrt[453], 100] (* or *) PadRight[{21}, 100, {42, 3, 1, 1, 10, 14, 10, 1, 1, 3}] (* Harvey P. Dale, Jul 05 2019 *)

CROSSREFS

Sequence in context: A108718 A083122 A040440 * A040430 A040432 A035419

Adjacent sequences:  A040428 A040429 A040430 * A040432 A040433 A040434

KEYWORD

nonn,cofr,easy,less

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified August 20 05:25 EDT 2019. Contains 326139 sequences. (Running on oeis4.)