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 A153349 Period 6: repeat [1, 7, 4, 4, 7, 1]. 2
 1, 7, 4, 4, 7, 1, 1, 7, 4, 4, 7, 1, 1, 7, 4, 4, 7, 1, 1, 7, 4, 4, 7, 1, 1, 7, 4, 4, 7, 1, 1, 7, 4, 4, 7, 1, 1, 7, 4, 4, 7, 1, 1, 7, 4, 4, 7, 1, 1, 7, 4, 4, 7, 1, 1, 7, 4, 4, 7, 1, 1, 7, 4, 4, 7, 1, 1, 7, 4, 4, 7, 1, 1, 7, 4, 4, 7, 1, 1, 7, 4, 4, 7, 1, 1, 7, 4, 4, 7, 1, 1, 7, 4, 4, 7, 1, 1, 7, 4, 4, 7, 1, 1, 7, 4 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Also: the decimal expansion of 5287/30303. [R. J. Mathar, Jan 03 2009] Terms of the simple continued fraction of 2026/(sqrt(4173845)-263). [Paolo P. Lava, Feb 17 2009] LINKS Index entries for linear recurrences with constant coefficients, signature (1,-1,1,-1,1). FORMULA a(n) = (1/30)*{8*(n mod 6)+38*[(n+1) mod 6]-7*[(n+2) mod 6]+8*[(n+3) mod 6]+23*[(n+4) mod 6]-22*[(n+5) mod 6]}. [Paolo P. Lava, Dec 31 2008] G.f.: (x^4+6*x^3-2*x^2+6*x+1)/((1-x)*(x^2-x+1)*(1+x+x^2)). a(n) = 4 + 3*A099837(n+2)/2 + 3*A010892(n+4)/2. [R. J. Mathar, Jan 03 2009] From Wesley Ivan Hurt, Jun 23 2016: (Start) a(n) = a(n-1) - a(n-2) + a(n-3) - a(n-4) + a(n-5) for n>4. a(n) = (8 - 3*cos(n*Pi/3) - 3*cos(2*n*Pi/3) + sqrt(3)*sin(n*Pi/3) + 3*sqrt(3)*sin(2*n*Pi/3))/2. (End) MAPLE A153349:=n->[1, 7, 4, 4, 7, 1][(n mod 6)+1]: seq(A153349(n), n=0..100); # Wesley Ivan Hurt, Jun 23 2016 MATHEMATICA PadRight[{}, 100, {1, 7, 4, 4, 7, 1}] (* Wesley Ivan Hurt, Jun 23 2016 *) PROG (MAGMA) &cat [[1, 7, 4, 4, 7, 1]^^20]; // Wesley Ivan Hurt, Jun 23 2016 CROSSREFS Cf. A010892, A099837. Sequence in context: A245074 A194474 A316161 * A210463 A154172 A021577 Adjacent sequences:  A153346 A153347 A153348 * A153350 A153351 A153352 KEYWORD nonn,easy AUTHOR Paul Curtz, Dec 24 2008 EXTENSIONS Extended by R. J. Mathar, Jan 03 2009 STATUS approved

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Last modified April 10 15:15 EDT 2021. Contains 342845 sequences. (Running on oeis4.)