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A040858 Continued fraction for sqrt(888). 1
29, 1, 3, 1, 58, 1, 3, 1, 58, 1, 3, 1, 58, 1, 3, 1, 58, 1, 3, 1, 58, 1, 3, 1, 58, 1, 3, 1, 58, 1, 3, 1, 58, 1, 3, 1, 58, 1, 3, 1, 58, 1, 3, 1, 58, 1, 3, 1, 58, 1, 3, 1, 58, 1, 3, 1, 58, 1, 3, 1, 58, 1, 3, 1, 58, 1, 3, 1, 58, 1, 3, 1, 58, 1, 3, 1, 58, 1, 3, 1, 58, 1, 3, 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, 1).

FORMULA

a(n) = (1/8)*{-93*(n mod 4)+25*[(n+1) mod 4]+17*[(n+2) mod 4]+135*[(n+3) mod 4]}-29*[C(2*n,n) mod 2], with n>=0. [Paolo P. Lava, May 29 2009]

From Wesley Ivan Hurt, Aug 29 2015: (Start)

G.f.: (29+x+3*x^2+x^3+29*x^4)/(1-x^4).

a(n) = 2+(-1)^n+55*((1+(-1)^(n/2))*(1+(-1)^n))/4, n>0. (End)

MAPLE

with(numtheory): Digits := 300: convert(evalf(sqrt(888)), confrac);

MATHEMATICA

CoefficientList[Series[(29 + x + 3 x^2 + x^3 + 29 x^4)/(1 - x^4), {x, 0, 30}], x] (* or *) Join[{29}, Table[2 + (-1)^n + 55 ((1 + (-1)^(n/2))*(1 + (-1)^n))/4, {n, 100}]] (* Wesley Ivan Hurt, Aug 29 2015 *)

CROSSREFS

Sequence in context: A040852 A040851 A040857 * A040856 A040860 A040859

Adjacent sequences:  A040855 A040856 A040857 * A040859 A040860 A040861

KEYWORD

nonn,cofr,easy

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified May 25 03:14 EDT 2019. Contains 323539 sequences. (Running on oeis4.)