OFFSET
0,4
REFERENCES
O. Martin, A. M. Odlyzko and S. Wolfram, Algebraic properties of cellular automata, Comm. Math. Physics, 93 (1984), pp. 219-258, Reprinted in Theory and Applications of Cellular Automata, S. Wolfram, Ed., World Scientific, 1986, pp. 51-90 and in Cellular Automata and Complexity: Collected Papers of Stephen Wolfram, Addison-Wesley, 1994, pp. 71-113. See Eq. 5.7.
LINKS
Index entries for linear recurrences with constant coefficients, signature (4,-6,5,-2,-1,1,-1).
FORMULA
G.f.: x*( 1-3*x-8*x^3+4*x^4-x^6+6*x^2 ) / ( (x^2-x+1)*(x^2+x-1)*(x^3-x^2+2*x-1) ). - R. J. Mathar, Sep 27 2014
MATHEMATICA
CoefficientList[Series[(x-3x^2+6x^3-8x^4+4x^5-x^7)/(1-4x+6x^2-5x^3+2x^4+x^5-x^6+x^7), {x, 0, 40}], x] (* or *) LinearRecurrence[{4, -6, 5, -2, -1, 1, -1}, {0, 1, 1, 4, 7, 11, 19, 36}, 50] (* Harvey P. Dale, Jun 09 2019 *)
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
N. J. A. Sloane, Jun 19 2003
STATUS
approved