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Search: id:A014679
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| A014679 |
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G.f.: (1+x^3)^2/((1-x^2)*(1-x^3)*(1-x^4)). |
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1
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| 1, 0, 1, 3, 2, 3, 6, 6, 7, 10, 11, 13, 16, 17, 20, 24, 25, 28, 33, 35, 38, 43, 46, 50, 55, 58, 63, 69, 72, 77, 84, 88, 93, 100, 105, 111, 118, 123, 130, 138, 143, 150, 159, 165, 172, 181, 188, 196, 205, 212, 221, 231
(list; graph; listen)
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OFFSET
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0,4
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COMMENT
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Poincare series (or Molien series) for mod 2 cohomology of M_12.
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REFERENCES
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A. Adem, Recent developments in the cohomology of finite groups, Notices Amer. Math. Soc., 44 (1997),806-812.
Alejandro Adem; John Maginnis; James R. Milgram, The geometry and cohomology of the Mathieu group M_12, J. Algebra 139 (1991), no. 1, 90-133.
A. Adem and R. J. Milgram, Cohomology of Finite Groups, Springer-Verlag, 2nd. ed., 2004; p. 255, Theorem 3.20, where the series is given in the form GF_2 (see formula line).
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LINKS
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T. D. Noe, Table of n, a(n) for n=0..1000
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FORMULA
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Can also be written as GF_2 = (1 + x^2 + 3*x^3 + x^4 + 3*x^5 + 4*x^6 + 2*x^7 + 4*x^8 + 3*x^9 + x^10 + 3*x^11 + x^12 + x^14 ) / ( (1-x^4)*(1-x^6)*(1-x^7)).
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MAPLE
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(1+x^3)^2/((1-x^2)*(1-x^3)*(1-x^4));
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CROSSREFS
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Adjacent sequences: A014676 A014677 A014678 this_sequence A014680 A014681 A014682
Sequence in context: A033807 A058691 A022472 this_sequence A050062 A058533 A058644
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KEYWORD
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nonn,easy,nice
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AUTHOR
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njas
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