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A040459 Continued fraction for sqrt(481). 0
21, 1, 13, 1, 1, 1, 4, 4, 1, 1, 1, 13, 1, 42, 1, 13, 1, 1, 1, 4, 4, 1, 1, 1, 13, 1, 42, 1, 13, 1, 1, 1, 4, 4, 1, 1, 1, 13, 1, 42, 1, 13, 1, 1, 1, 4, 4, 1, 1, 1, 13, 1, 42, 1, 13, 1, 1, 1, 4, 4, 1, 1, 1, 13, 1, 42, 1, 13, 1, 1, 1, 4, 4, 1, 1, 1, 13, 1, 42, 1, 13, 1, 1, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Table of n, a(n) for n=0..83.

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, 1).

FORMULA

a(n)=(1/169)*{-519*(n mod 13)+170*[(n+1) mod 13]-142*[(n+2) mod 13]+14*[(n+3) mod 13]+14*[(n+4) mod 13]+53*[(n+5) mod 13]+14*[(n+6) mod 13]-25*[(n+7) mod 13]+14*[(n+8) mod 13]+14*[(n+9) mod 13]+170*[(n+10) mod 13]-142*[(n+11) mod 13]+547*[(n+12) mod 13]}-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(481)), confrac);

CROSSREFS

Sequence in context: A040457 A040458 A093192 * A040460 A040461 A260531

Adjacent sequences:  A040456 A040457 A040458 * A040460 A040461 A040462

KEYWORD

nonn,cofr,easy,less

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified January 24 18:41 EST 2022. Contains 350565 sequences. (Running on oeis4.)