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A040490
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Continued fraction for sqrt(513).
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0
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22, 1, 1, 1, 5, 1, 4, 5, 2, 5, 4, 1, 5, 1, 1, 1, 44, 1, 1, 1, 5, 1, 4, 5, 2, 5, 4, 1, 5, 1, 1, 1, 44, 1, 1, 1, 5, 1, 4, 5, 2, 5, 4, 1, 5, 1, 1, 1, 44, 1, 1, 1, 5, 1, 4, 5, 2, 5, 4, 1, 5, 1, 1, 1, 44, 1, 1, 1, 5, 1, 4, 5, 2, 5, 4, 1, 5, 1, 1, 1, 44, 1, 1, 1, 5, 1, 4, 5, 2, 5
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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..89.
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, 0, 0, 0, 0, 1).
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FORMULA
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a(n)=(1/960)*{-2539*(n mod 16)+41*[(n+1) mod 16]+41*[(n+2) mod 16]+281*[(n+3) mod 16]-199*[(n+4) mod 16]+221*[(n+5) mod 16]+101*[(n+6) mod 16]-139*[(n+7) mod 16]+221*[(n+8) mod 16]-19*[(n+9) mod 16]-139*[(n+10) mod 16]+281*[(n+11) mod 16]-199*[(n+12) mod 16]+41*[(n+13) mod 16]+41*[(n+14) mod 16]+2621*[(n+15) mod 16]}-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(513)), confrac);
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CROSSREFS
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Sequence in context: A156462 A040488 A040489 * A040487 A040486 A040485
Adjacent sequences: A040487 A040488 A040489 * A040491 A040492 A040493
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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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