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A083839 G.f.: ( x - 3*x^2 + 6*x^3 - 8*x^4 + 4*x^5 - x^7 ) / (1 - 4*x + 6*x^2 - 5*x^3 + 2*x^4 + x^5 - x^6 + x^7 ). 0
0, 1, 1, 4, 7, 11, 19, 36, 67, 121, 216, 386, 691, 1236, 2206, 3929, 6987, 12411, 22024, 39046, 69162, 122406, 216481, 382606, 675811, 1193061, 2105156, 3712864, 6545672, 11535476, 20322024, 35789966, 63012987, 110913356, 195178616, 343387111, 604014136 (list; graph; refs; listen; history; text; internal format)
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

Table of n, a(n) for n=0..36.

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

CROSSREFS

Sequence in context: A087203 A109328 A228079 * A091176 A002974 A130625

Adjacent sequences:  A083836 A083837 A083838 * A083840 A083841 A083842

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane, Jun 19 2003

STATUS

approved

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Last modified September 24 21:29 EDT 2017. Contains 292441 sequences.