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20, 5, 40, 5, 40, 5, 40, 5, 40, 5, 40, 5, 40, 5, 40, 5, 40, 5, 40, 5, 40, 5, 40, 5, 40, 5, 40, 5, 40, 5, 40, 5, 40, 5, 40, 5, 40, 5, 40, 5, 40, 5, 40, 5, 40, 5, 40, 5, 40, 5, 40, 5, 40, 5, 40, 5, 40, 5, 40, 5, 40, 5, 40, 5, 40, 5, 40, 5, 40, 5, 40, 5, 40, 5, 40
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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0,1
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LINKS
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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).
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FORMULA
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a(n)=(1/2)*[45+35*(-1)^n]-20*[C(2*n,n) mod 2], with n>=0 [From Paolo P. Lava, Apr 30 2009]
a(n) = 5*(9+7*(-1)^n)/2 for n>0. a(n) = a(n-2) for n>2. G.f.: -5*(4*x^2+x+4) / ((x-1)*(x+1)). [Colin Barker, Mar 25 2013]
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MAPLE
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with(numtheory): Digits := 300: convert(evalf(sqrt(408)), confrac);
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MATHEMATICA
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Block[{$MaxExtraPrecision=1000}, ContinuedFraction[Sqrt[408], 100]] (* or *_) PadRight[{20}, 100, {40, 5}] (* Harvey P. Dale, Oct 06 2020 *)
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CROSSREFS
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Sequence in context: A104158 A068612 A233820 * A201137 A040385 A161997
Adjacent sequences: A040384 A040385 A040386 * A040388 A040389 A040390
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KEYWORD
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nonn,cofr,easy
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AUTHOR
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N. J. A. Sloane.
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STATUS
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approved
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