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A040449 Continued fraction for sqrt(471). 0
21, 1, 2, 2, 1, 3, 4, 14, 4, 3, 1, 2, 2, 1, 42, 1, 2, 2, 1, 3, 4, 14, 4, 3, 1, 2, 2, 1, 42, 1, 2, 2, 1, 3, 4, 14, 4, 3, 1, 2, 2, 1, 42, 1, 2, 2, 1, 3, 4, 14, 4, 3, 1, 2, 2, 1, 42, 1, 2, 2, 1, 3, 4, 14, 4, 3, 1, 2, 2, 1, 42, 1, 2, 2, 1, 3, 4, 14, 4, 3, 1, 2, 2, 1, 42, 1, 2 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Table of n, a(n) for n=0..86.

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, 0, 0, 0, 0, 1).

FORMULA

a(n)=(1/1274)*{-3649*(n mod 14)+173*[(n+1) mod 14]+82*[(n+2) mod 14]-9*[(n+3) mod 14]+264*[(n+4) mod 14]+173*[(n+5) mod 14]+992*[(n+6) mod 14]-828*[(n+7) mod 14]-9*[(n+8) mod 14]-100*[(n+9) mod 14]+173*[(n+10) mod 14]+82*[(n+11) mod 14]-9*[(n+12) mod 14]+3813*[(n+13) mod 14]}-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(471)), confrac);

CROSSREFS

Sequence in context: A174945 A040450 A040451 * A040448 A040453 A040452

Adjacent sequences:  A040446 A040447 A040448 * A040450 A040451 A040452

KEYWORD

nonn,cofr,easy,less

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified January 19 20:48 EST 2022. Contains 350466 sequences. (Running on oeis4.)