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A091778 G.f.: Product((1+x^i)/(1-x^i),i=1..n-1)/(1-x^n), with n = 7. 0
1, 2, 4, 8, 14, 24, 40, 63, 96, 144, 210, 300, 422, 582, 791, 1062, 1406, 1840, 2384, 3056, 3882, 4891, 6110, 7576, 9330, 11412, 13872, 16766, 20149, 24088, 28658, 33932, 39998, 46952, 54890, 63925, 74178, 85772, 98848, 113558, 130056, 148516, 169125, 192072 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
COMMENTS
Poincaré series [or Poincare series] (or Molien series) for H^*(O_7(q); F_2).
REFERENCES
A. Adem and R. J. Milgram, Cohomology of Finite Groups, Springer-Verlag, 2nd. ed., 2004; p. 233.
LINKS
Index entries for linear recurrences with constant coefficients, signature (3,-3,3,-6,7,-6,7,-9,10,-9,9,-10,9,-7,6,-7,6,-3,3,-3,1).
FORMULA
G.f.: -(x^2+1)*(x^4-x^3+x^2-x+1)*(x^4-x^2+1)*(x^4+1) / ((x-1)^7*(x^2+x+1)^2*(x^4+x^3+x^2+x+1)*(x^6+x^5+x^4+x^3+x^2+x+1)). [Colin Barker, Jan 31 2013]
MATHEMATICA
CoefficientList[Series[(Product[(1+x^i)/(1-x^i), {i, 6}])/(1-x^7), {x, 0, 50}], x] (* or *) LinearRecurrence[{3, -3, 3, -6, 7, -6, 7, -9, 10, -9, 9, -10, 9, -7, 6, -7, 6, -3, 3, -3, 1}, {1, 2, 4, 8, 14, 24, 40, 63, 96, 144, 210, 300, 422, 582, 791, 1062, 1406, 1840, 2384, 3056, 3882}, 50] (* Harvey P. Dale, Mar 10 2019 *)
CROSSREFS
Sequence in context: A243815 A060046 A053801 * A053802 A091779 A365666
KEYWORD
nonn,easy
AUTHOR
N. J. A. Sloane, Mar 18 2004
STATUS
approved

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Last modified March 28 20:05 EDT 2024. Contains 371254 sequences. (Running on oeis4.)