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A091426 Expansion of (1 + x^18 + x^21 + x^22 + x^23 + x^24 + x^27 + x^45) / ( (1 - x^8)*(1 - x^12)*(1 - x^14)*(1 - x^15)). 0
1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 3, 0, 2, 2, 2, 2, 4, 2, 4, 2, 3, 4, 6, 4, 7, 5, 5, 4, 7, 5, 8, 8, 9, 8, 10, 7, 12, 11, 12, 12, 14, 10, 14, 13, 15, 16, 20, 16, 20, 18, 20, 20, 24, 21, 26, 24, 25, 25, 30, 26, 33, 32, 33, 33, 37, 33, 40, 38, 41, 42, 46, 41, 48 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,23
COMMENTS
Poincaré series [or Poincare series] (or Molien series) for F_2[x_1..x_4]^(A_7).
REFERENCES
A. Adem and R. J. Milgram, Cohomology of Finite Groups, Springer-Verlag, 2nd. ed., 2004, last page of Chapter III.
LINKS
Index entries for linear recurrences with constant coefficients, signature (1,0,0,-1,1,0,0,0,0,0,0,1,-1,1,0,0,-1,1,0,-1,0,0,0,0,0,-1,0,1,-1,0,0,1,-1,1,0,0,0,0,0,0,1,-1,0,0,1,-1).
MATHEMATICA
CoefficientList[Series[(1+x^18+x^21+x^22+x^23+x^24+x^27+x^45)/((1-x^8)(1-x^12)(1-x^14)(1-x^15)), {x, 0, 100}], x] (* or *) LinearRecurrence[{1, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 1, -1, 1, 0, 0, -1, 1, 0, -1, 0, 0, 0, 0, 0, -1, 0, 1, -1, 0, 0, 1, -1, 1, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 1, -1}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 3, 0, 2, 2, 2, 2, 4, 2, 4, 2, 3, 4, 6, 4, 7, 5, 5, 4, 7, 5, 8, 8}, 100] (* Harvey P. Dale, Oct 18 2023 *)
PROG
(PARI) Vec((1 + x^18 + x^21 + x^22 + x^23 + x^24 + x^27 + x^45) / ( (1 - x^8)*(1 - x^12)*(1 - x^14)*(1 - x^15)) + O(x^90)) \\ Michel Marcus, Jul 19 2015
CROSSREFS
Sequence in context: A306191 A290125 A307356 * A053761 A138067 A324348
KEYWORD
nonn,easy
AUTHOR
N. J. A. Sloane, Mar 16 2004
STATUS
approved

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Last modified February 24 02:58 EST 2024. Contains 370288 sequences. (Running on oeis4.)