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A040220 Continued fraction for sqrt(236). 0
15, 2, 1, 3, 5, 1, 6, 1, 5, 3, 1, 2, 30, 2, 1, 3, 5, 1, 6, 1, 5, 3, 1, 2, 30, 2, 1, 3, 5, 1, 6, 1, 5, 3, 1, 2, 30, 2, 1, 3, 5, 1, 6, 1, 5, 3, 1, 2, 30, 2, 1, 3, 5, 1, 6, 1, 5, 3, 1, 2, 30, 2, 1, 3, 5, 1, 6, 1, 5, 3, 1, 2, 30, 2, 1, 3, 5, 1, 6, 1, 5, 3, 1, 2, 30, 2, 1, 3, 5, 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, 1).

FORMULA

a(n)=(1/132)*{-298*(n mod 12)-[(n+1) mod 12]+32*[(n+2) mod 12]+32*[(n+3) mod 12]-34*[(n+4) mod 12]+65*[(n+5) mod 12]-45*[(n+6) mod 12]+54*[(n+7) mod 12]-12*[(n+8) mod 12]-12*[(n+9) mod 12]+21*[(n+10) mod 12]+318*[(n+11) mod 12]}-15*[C(2*n,n) mod 2], with n>=0 [From Paolo P. Lava, Apr 23 2009]

MAPLE

with(numtheory): Digits := 300: convert(evalf(sqrt(236)), confrac);

CROSSREFS

Sequence in context: A027479 A027497 A040221 * A146989 A166031 A040222

Adjacent sequences:  A040217 A040218 A040219 * A040221 A040222 A040223

KEYWORD

nonn,cofr,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified October 24 15:56 EDT 2021. Contains 348233 sequences. (Running on oeis4.)