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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
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.
FORMULA
O.g.f.: 1/(x^11+x^9+x^7+x^6+x^5+x+1). - Georg Fischer, Apr 18 2022
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 * A289433 A351973 A212264
KEYWORD
sign,easy
AUTHOR
Roger L. Bagula, Mar 08 2009
EXTENSIONS
Edited by N. J. A. Sloane, Sep 04 2010
STATUS
approved