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A040505 Continued fraction for sqrt(528). 1
22, 1, 44, 1, 44, 1, 44, 1, 44, 1, 44, 1, 44, 1, 44, 1, 44, 1, 44, 1, 44, 1, 44, 1, 44, 1, 44, 1, 44, 1, 44, 1, 44, 1, 44, 1, 44, 1, 44, 1, 44, 1, 44, 1, 44, 1, 44, 1, 44, 1, 44, 1, 44, 1, 44, 1, 44, 1, 44, 1, 44, 1, 44, 1, 44, 1, 44, 1, 44, 1, 44, 1, 44, 1, 44 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Table of n, a(n) for n=0..74.

Index entries for continued fractions for constants

Index entries for linear recurrences with constant coefficients, signature (0,1).

FORMULA

a(n) = (1/2)*[45+43*(-1)^n]-22*[C(2*n,n) mod 2], with n>=0. - Paolo P. Lava, May 13 2009

From Colin Barker, Nov 10 2014: (Start)

a(n) = (45+43*(-1)^n)/2 for n>0.

a(n) = a(n-2) for n>2.

G.f.: -(22*x^2+x+22) / ((x-1)*(x+1)).

(End)

MAPLE

with(numtheory): Digits := 300: convert(evalf(sqrt(528)), confrac);

PROG

(PARI) Vec(-(22*x^2+x+22)/((x-1)*(x+1)) + O(x^100)) \\ Colin Barker, Nov 10 2014

CROSSREFS

Sequence in context: A040503 A040504 A229555 * A040478 A040477 A040476

Adjacent sequences:  A040502 A040503 A040504 * A040506 A040507 A040508

KEYWORD

nonn,cofr,easy,less

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified July 23 22:49 EDT 2019. Contains 325278 sequences. (Running on oeis4.)