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 A131722 Period 6: repeat [0, 10, 10, 10, 10, 10]. 1
 0, 10, 10, 10, 10, 10, 0, 10, 10, 10, 10, 10, 0, 10, 10, 10, 10, 10, 0, 10, 10, 10, 10, 10, 0, 10, 10, 10, 10, 10, 0, 10, 10, 10, 10, 10, 0, 10, 10, 10, 10, 10, 0, 10, 10, 10, 10, 10, 0, 10, 10, 10, 10, 10, 0, 10, 10, 10, 10, 10, 0, 10, 10, 10, 10, 10, 0, 10 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,1). FORMULA a(n) = (1/9)*{20*(n mod 6)+5*[(n+1) mod 6]+5*[(n+2) mod 6]+5*[(n+3) mod 6]+5*[(n+4) mod 6]-10*[(n+5) mod 6]}. - Paolo P. Lava, Oct 02 2007 a(n) = 10 * sign(n mod 6). - Wesley Ivan Hurt, Mar 21 2014 From Wesley Ivan Hurt, Jun 21 2016: (Start) G.f.: 10*x*(1+x+x^2+x^3+x^4)/(1-x^6). a(n) = a(n-6) for n>5. a(n) = 10 * sin(n*Pi/6)^2 * (9 + 8*cos(n*Pi/3) + 2*cos(2*n*Pi/3))/3. (End) MAPLE A131722:=n->10*signum(n mod 6); seq(A131722(n), n=0..100); # Wesley Ivan Hurt, Mar 21 2014 MATHEMATICA Table[10 Sign[Mod[n, 6]], {n, 0, 100}] (* Wesley Ivan Hurt, Mar 21 2014 *) PROG (MAGMA) &cat [[0, 10, 10, 10, 10, 10]^^20]; // Wesley Ivan Hurt, Jun 21 2016 CROSSREFS Sequence in context: A145279 A103708 A239051 * A072803 A163139 A269352 Adjacent sequences:  A131719 A131720 A131721 * A131723 A131724 A131725 KEYWORD nonn,easy AUTHOR Paul Curtz, Sep 15 2007 STATUS approved

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Last modified April 5 12:20 EDT 2020. Contains 333241 sequences. (Running on oeis4.)