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 A105899 Period 6: repeat [1, 1, 2, 2, 3, 3]. 4
 1, 1, 2, 2, 3, 3, 1, 1, 2, 2, 3, 3, 1, 1, 2, 2, 3, 3, 1, 1, 2, 2, 3, 3, 1, 1, 2, 2, 3, 3, 1, 1, 2, 2, 3, 3, 1, 1, 2, 2, 3, 3, 1, 1, 2, 2, 3, 3, 1, 1, 2, 2, 3, 3, 1, 1, 2, 2, 3, 3, 1, 1, 2, 2, 3, 3, 1, 1, 2, 2, 3, 3, 1, 1, 2, 2, 3, 3, 1, 1, 2, 2, 3, 3, 1, 1, 2, 2, 3, 3, 1, 1, 2, 2, 3, 3, 1, 1, 2, 2, 3, 3, 1, 1, 2 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS Terms of the simple continued fraction of 82/[sqrt(25277)-111]. Decimal expansion of 3401/30303. [Paolo P. Lava, Aug 05 2009] LINKS Index entries for linear recurrences with constant coefficients, signature (1,-1,1,-1,1). FORMULA G.f.: -(3*x^4+2*x^2+1)/(x-1)/(x^2+x+1)/(x^2-x+1). a(n) = A131555(n)+1. - R. J. Mathar, Nov 14 2007 a(n) = (1/30)*{14*(n mod 6)+4*[(n+1) mod 6]-[(n+2) mod 6]+4*[(n+3) mod 6]-[(n+4) mod 6]+4*[(n+5) mod 6]}. - Paolo P. Lava, Dec 19 2007 From Wesley Ivan Hurt, Jun 17 2016: (Start) a(n) = a(n-1) - a(n-2) + a(n-3) - a(n-4) + a(n-5) for n>4. a(n) = (12-2*sqrt(3)*cos((1-4*n)*Pi/6)-6*sin((1+2*n)*Pi/6))/6. (End) MAPLE A105899:=n->(12-2*sqrt(3)*cos((1-4*n)*Pi/6)-6*sin((1+2*n)*Pi/6))/6: seq(A105899(n), n=0..100); # Wesley Ivan Hurt, Jun 17 2016 MATHEMATICA Flatten[Table[{1, 1, 2, 2, 3, 3}, {20}]] (* Wesley Ivan Hurt, Jun 17 2016 *) PROG (PARI) a(n)=1+n%6\2 \\ Jaume Oliver Lafont, Aug 30 2009 (MAGMA) &cat[[1, 1, 2, 2, 3, 3]: n in [0..20]]; // Wesley Ivan Hurt, Jun 17 2016 CROSSREFS Cf. A131555. Cf. A178308 Decimal expansion of (111+sqrt(25277))/158. [Klaus Brockhaus, May 24 2010] Sequence in context: A288723 A071859 A135695 * A071434 A227314 A128924 Adjacent sequences:  A105896 A105897 A105898 * A105900 A105901 A105902 KEYWORD nonn,easy,less AUTHOR Paul Curtz, Aug 27 2007 EXTENSIONS Edited by N. J. A. Sloane, Sep 15 2007 More terms from Klaus Brockhaus, May 24 2010 STATUS approved

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Last modified April 22 19:11 EDT 2021. Contains 343177 sequences. (Running on oeis4.)