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 A078013 Expansion of (1-x)/(1-x+x^3). 4
 1, 0, 0, -1, -1, -1, 0, 1, 2, 2, 1, -1, -3, -4, -3, 0, 4, 7, 7, 3, -4, -11, -14, -10, 1, 15, 25, 24, 9, -16, -40, -49, -33, 7, 56, 89, 82, 26, -63, -145, -171, -108, 37, 208, 316, 279, 71, -245, -524, -595, -350, 174, 769, 1119, 945, 176, -943, -1888, -2064, -1121, 767, 2831, 3952, 3185, 354, -3598, -6783, -7137 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,9 LINKS Index entries for linear recurrences with constant coefficients, signature (1,0,-1). FORMULA a(n) = -A050935(n). a(n+1)=a(n)-a(n-2), a(0)=1, a(1)=a(2)=0. - From Philippe Deléham, Nov 12 2011 G.f.: 1-x^3-x^4+x^6 +x^6/(G(0) - 1) where G(k) = 1 - x*(k+1)/(1 - x/(x - (k+1)/G(k+1) )); (recursively defined continued fraction). - Sergei N. Gladkovskii, Dec 17 2012 PROG (PARI) Vec((1-x)/(1-x+x^3)+O(x^99)) \\ Charles R Greathouse IV, Sep 26 2012 CROSSREFS Cf. A050935. Sequence in context: A247917 A050935 A104769 * A086461 A047089 A122218 Adjacent sequences:  A078010 A078011 A078012 * A078014 A078015 A078016 KEYWORD sign,easy AUTHOR N. J. A. Sloane, Nov 17 2002 STATUS approved

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Last modified September 25 22:57 EDT 2018. Contains 315425 sequences. (Running on oeis4.)