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 A165983 Period 16: repeat 1,1,1,2,1,1,1,2,1,1,1,4,1,1,1,4. 0
 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 2, 1 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 COMMENTS The numerator of the reduced fraction A061037(n+3)/A061041(2n+6). LINKS Table of n, a(n) for n=0..104. Index entries for linear recurrences with constant coefficients, signature (0,0,0,1,0,0,0,-1,0,0,0,1). FORMULA a(n) = a(n-4) - a(n-8) + a(n-12). - R. J. Mathar, Dec 17 2010 G.f.: ( -1 - x - x^2 - 2*x^3 - x^8 - x^9 - x^10 - 4*x^11 ) / ( (x-1)*(1+x)*(1+x^2)*(x^8+1) ). - R. J. Mathar, Dec 17 2010 a(4n) = a(4n+1) = a(4n+2) = 1. a(4n+3) = A165207(n). MATHEMATICA LinearRecurrence[{0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 1}, {1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 4}, 50] (* G. C. Greubel, Apr 20 2016 *) PROG (PARI) x='x+O('x^50); Vec(( -1-x-x^2-2*x^3-x^8-x^9-x^10-4*x^11 )/((x-1)*(1+x)*(1+x^2)*(x^8+1))) \\ G. C. Greubel, Sep 20 2018 (Magma) m:=50; R:=PowerSeriesRing(Integers(), m); Coefficients(R!(( -1-x-x^2-2*x^3-x^8-x^9-x^10-4*x^11 )/((x-1)*(1+x)*(1+x^2)*(x^8+1)))); // G. C. Greubel, Sep 20 2018 CROSSREFS Cf. A064038. Sequence in context: A161096 A214247 A211987 * A300719 A341998 A083894 Adjacent sequences: A165980 A165981 A165982 * A165984 A165985 A165986 KEYWORD nonn,easy,less AUTHOR Paul Curtz, Oct 03 2009 STATUS approved

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Last modified April 21 20:45 EDT 2024. Contains 371885 sequences. (Running on oeis4.)