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A040489
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Continued fraction for sqrt(512).
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3
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22, 1, 1, 1, 2, 6, 11, 6, 2, 1, 1, 1, 44, 1, 1, 1, 2, 6, 11, 6, 2, 1, 1, 1, 44, 1, 1, 1, 2, 6, 11, 6, 2, 1, 1, 1, 44, 1, 1, 1, 2, 6, 11, 6, 2, 1, 1, 1, 44, 1, 1, 1, 2, 6, 11, 6, 2, 1, 1, 1, 44, 1, 1, 1, 2, 6, 11, 6, 2, 1, 1, 1, 44, 1, 1, 1, 2, 6, 11, 6, 2, 1, 1, 1, 44, 1, 1
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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..86.
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).
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FORMULA
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a(n)=(1/72)*{-251*(n mod 12)+7*[(n+1) mod 12]+7*[(n+2) mod 12]+13*[(n+3) mod 12]+31*[(n+4) mod 12]+37*[(n+5) mod 12]-23*[(n+6) mod 12]-17*[(n+7) mod 12]+[(n+8) mod 12]+7*[(n+9) mod 12]+7*[(n+10) mod 12]+265*[(n+11) mod 12]}-22*[C(2*n,n) mod 2], with n>=0 [From Paolo P. Lava, May 13 2009]
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MAPLE
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with(numtheory): Digits := 300: convert(evalf(sqrt(512)), confrac);
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MATHEMATICA
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ContinuedFraction[Sqrt[512], 90] (* or *) PadRight[{22}, 90, {44, 1, 1, 1, 2, 6, 11, 6, 2, 1, 1, 1}] (* Harvey P. Dale, Mar 07 2014 *)
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CROSSREFS
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Sequence in context: A297813 A156462 A040488 * A040490 A040487 A040486
Adjacent sequences: A040486 A040487 A040488 * A040490 A040491 A040492
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KEYWORD
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nonn,cofr,easy,less
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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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