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A157876 Let f(x)=1 + x^2 + x^4 + x^5 + x^6 + x^10 + x^11; sequence has g.f. g(x)=1/(x^11*f(1/x)). 0
1, -1, 1, -1, 1, -2, 2, -3, 4, -6, 9, -12, 17, -22, 30, -40, 54, -74, 100, -138, 188, -258, 352, -479, 653, -887, 1209, -1645, 2242, -3056, 4165, -5680, 7740, -10551, 14376, -19589, 26692, -36368, 49560, -67532, 92032, -125416, 170912, -232912, 317392 (list; graph; refs; listen; history; internal format)
OFFSET

0,6

COMMENTS

x^23+1 factors mod 2 into (x+1)*f(x)*g(x).

REFERENCES

J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag, pp. 231.

MATHEMATICA

f[x_] = 1 + x^2 + x^4 + x^5 + x^6 + x^10 + x^11;

g[x] = ExpandAll[x^11*f[1/x]];

a = Table[SeriesCoefficient[ Series[1/g[x], {x, 0, 50}], n], {n, 0, 50}]

CROSSREFS

Sequence in context: A068106 A186964 A005856 * A174650 A107293 A001611

Adjacent sequences:  A157873 A157874 A157875 * A157877 A157878 A157879

KEYWORD

sign

AUTHOR

Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Mar 08 2009

EXTENSIONS

Edited by N. J. A. Sloane, Sep 04 2010

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Last modified February 13 19:32 EST 2012. Contains 205536 sequences.