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A040394 Continued fraction for sqrt(415). 0
20, 2, 1, 2, 4, 6, 1, 1, 3, 1, 1, 6, 4, 2, 1, 2, 40, 2, 1, 2, 4, 6, 1, 1, 3, 1, 1, 6, 4, 2, 1, 2, 40, 2, 1, 2, 4, 6, 1, 1, 3, 1, 1, 6, 4, 2, 1, 2, 40, 2, 1, 2, 4, 6, 1, 1, 3, 1, 1, 6, 4, 2, 1, 2, 40, 2, 1, 2, 4, 6, 1, 1, 3, 1, 1, 6, 4, 2, 1, 2, 40, 2, 1, 2, 4, 6, 1, 1, 3, 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, 0, 0, 0, 0, 0, 0, 1).

FORMULA

a(n)=(1/1920)*{-4483*(n mod 16)-43*[(n+1) mod 16]+197*[(n+2) mod 16]+317*[(n+3) mod 16]+317*[(n+4) mod 16]-523*[(n+5) mod 16]+77*[(n+6) mod 16]+317*[(n+7) mod 16]-163*[(n+8) mod 16]+77*[(n+9) mod 16]+677*[(n+10) mod 16]-163*[(n+11) mod 16]-163*[(n+12) mod 16]-43*[(n+13) mod 16]+197*[(n+14) mod 16]+4637*[(n+15) mod 16]}-20*[C(2*n,n) mod 2], with n>=0 [From Paolo P. Lava, Apr 30 2009]

MAPLE

with(numtheory): Digits := 300: convert(evalf(sqrt(415)), confrac);

CROSSREFS

Sequence in context: A280621 A223522 A040395 * A040393 A040396 A037926

Adjacent sequences:  A040391 A040392 A040393 * A040395 A040396 A040397

KEYWORD

nonn,cofr,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified February 23 02:29 EST 2019. Contains 320411 sequences. (Running on oeis4.)