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A040443 Continued fraction for sqrt(465). 2
21, 1, 1, 3, 2, 2, 2, 3, 1, 1, 42, 1, 1, 3, 2, 2, 2, 3, 1, 1, 42, 1, 1, 3, 2, 2, 2, 3, 1, 1, 42, 1, 1, 3, 2, 2, 2, 3, 1, 1, 42, 1, 1, 3, 2, 2, 2, 3, 1, 1, 42, 1, 1, 3, 2, 2, 2, 3, 1, 1, 42, 1, 1, 3, 2, 2, 2, 3, 1, 1, 42, 1, 1, 3, 2, 2, 2, 3, 1, 1, 42, 1, 1, 3, 2, 2, 2, 3, 1, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Table of n, a(n) for n=0..89.

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)*{-1787*(n mod 10)+58*[(n+1) mod 10]+148*[(n+2) mod 10]+13*[(n+3) mod 10]+58*[(n+4) mod 10]+58*[(n+5) mod 10]+103*[(n+6) mod 10]-32*[(n+7) mod 10]+58*[(n+8) mod 10]+1903*[(n+9) mod 10]}-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(465)), confrac);

MATHEMATICA

ContinuedFraction[Sqrt[465], 100] (* or *) PadRight[{21}, 100, {42, 1, 1, 3, 2, 2, 2, 3, 1, 1}] (* Harvey P. Dale, Aug 29 2015 *)

CROSSREFS

Sequence in context: A040446 A040447 A040444 * A040442 A040441 A190581

Adjacent sequences:  A040440 A040441 A040442 * A040444 A040445 A040446

KEYWORD

nonn,cofr,easy,less

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified July 23 03:00 EDT 2019. Contains 325230 sequences. (Running on oeis4.)