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a(n)=(1/1274)*{-2367*(n mod 14)-183*[(n+1) mod 14]-[(n+2) mod 14]+181*[(n+3) mod 14]-[(n+4) mod 14]+909*[(n+5) mod 14]+636*[(n+6) mod 14]-456*[(n+7) mod 14]-729*[(n+8) mod 14]+181*[(n+9) mod 14]-[(n+10) mod 14]+181*[(n+11) mod 14]+363*[(n+12) mod 14]+2547*[(n+13) mod 14]}-16*[C(2*n,n) mod 2], with n>=0 [From Paolo P. Lava, Apr 21 2009]
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<a href="/index/Rec#order_14">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1).
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ContinuedFraction[Sqrt[262], 120] (* Harvey P. Dale, Mar 13 2014 *)
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a(n)=(1/1274)*{-2367*(n mod 14)-183*[(n+1) mod 14]-[(n+2) mod 14]+181*[(n+3) mod 14]-[(n+4) mod 14]+909*[(n+5) mod 14]+636*[(n+6) mod 14]-456*[(n+7) mod 14]-729*[(n+8) mod 14]+181*[(n+9) mod 14]-[(n+10) mod 14]+181*[(n+11) mod 14]+363*[(n+12) mod 14]+2547*[(n+13) mod 14]}-16*[C(2*n,n) mod 2], with n>=0 [From _Paolo P. Lava (paoloplava(AT)gmail.com), _, Apr 21 2009]
_N. J. A. Sloane (njas(AT)research.att.com)_.
a(n)=(1/1274)*{-2367*(n mod 14)-183*[(n+1) mod 14]-[(n+2) mod 14]+181*[(n+3) mod 14]-[(n+4) mod 14]+909*[(n+5) mod 14]+636*[(n+6) mod 14]-456*[(n+7) mod 14]-729*[(n+8) mod 14]+181*[(n+9) mod 14]-[(n+10) mod 14]+181*[(n+11) mod 14]+363*[(n+12) mod 14]+2547*[(n+13) mod 14]}-16*[C(2*n,n) mod 2], with n>=0 [From Paolo P. Lava (pplpaoloplava(AT)splgmail.atcom), Apr 21 2009]
<a href="/Sindx_index/Con.html#confC">Index entries for continued fractions for constants</a>