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A010205 Continued fraction for sqrt(154). 1
12, 2, 2, 3, 1, 2, 1, 3, 2, 2, 24, 2, 2, 3, 1, 2, 1, 3, 2, 2, 24, 2, 2, 3, 1, 2, 1, 3, 2, 2, 24, 2, 2, 3, 1, 2, 1, 3, 2, 2, 24, 2, 2, 3, 1, 2, 1, 3, 2, 2, 24, 2, 2, 3, 1, 2, 1, 3, 2, 2, 24, 2, 2, 3, 1, 2, 1, 3, 2, 2, 24, 2, 2, 3, 1, 2, 1, 3 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Table of n, a(n) for n=0..77.

G. Xiao, Contfrac

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) = (1/150)*(-316*(n mod 10) + 14*((n+1) mod 10) + 29*((n+2) mod 10) - 16*((n+3) mod 10) + 29*((n+4) mod 10) - ((n+5) mod 10) + 44*((n+6) mod 10) - ((n+7) mod 10) + 14*((n+8) mod 10) + 344*((n+9) mod 10)) - 12*(C(2*n,n) mod 2), with n >= 0. - Paolo P. Lava, Jul 28 2009

MAPLE

Digits := 100: convert(evalf(sqrt(N)), confrac, 90, 'cvgts'):

MATHEMATICA

ContinuedFraction[Sqrt[154], 300] (* Vladimir Joseph Stephan Orlovsky, Mar 23 2011 *)

CROSSREFS

Sequence in context: A124607 A177429 A242591 * A080496 A098781 A040142

Adjacent sequences:  A010202 A010203 A010204 * A010206 A010207 A010208

KEYWORD

nonn,cofr,easy

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified September 21 19:39 EDT 2019. Contains 327279 sequences. (Running on oeis4.)