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A008622
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Expansion of 1/((1-x^4)*(1-x^6)*(1-x^7)).
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0
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1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 4, 3, 4, 3, 5, 3, 5, 4, 6, 4, 6, 5, 7, 5, 7, 6, 8, 6, 9, 7, 9, 7, 10, 8, 11, 9, 11, 9, 12, 10, 13, 11, 14, 11, 14, 12, 16, 13, 16, 14, 17, 14, 18, 16, 19, 16, 20, 17, 21, 18, 22, 19, 23, 20, 24, 21, 25, 22, 26, 23, 28, 24, 28
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OFFSET
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0,13
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COMMENTS
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Molien series of 3-dimensional representation of GL(3,2) over GF(2).
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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.
D. J. Benson, Polynomial Invariants of Finite Groups, Cambridge, 1993, p. 106.
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LINKS
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Table of n, a(n) for n=0..86.
INRIA Algorithms Project, Encyclopedia of Combinatorial Structures 231
Index entries for Molien series
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FORMULA
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a(0)=1, a(1)=0, a(2)=0, a(3)=0, a(4)=1, a(5)=0, a(6)=1, a(7)=1, a(8)=1, a(9)=0, a(10)=1, a(11)=1, a(12)=2, a(13)=1, a(14)=2, a(15)=1, a(16)=2, a(n)=a(n-4)+a(n-6)+a(n-7)-a(n-10)-a(n-11)-a(n-13)+a(n-17). - Harvey P. Dale, May 09 2013
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MAPLE
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1/(1-x^4)/(1-x^6)/(1-x^7);
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MATHEMATICA
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CoefficientList[Series[1/((1-x^4)(1-x^6)(1-x^7)), {x, 0, 90}], x] (* or *) LinearRecurrence[{0, 0, 0, 1, 0, 1, 1, 0, 0, -1, -1, 0, -1, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2}, 90] (* Harvey P. Dale, May 09 2013 *)
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CROSSREFS
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Sequence in context: A176725 A085029 A185318 * A029414 A053275 A025816
Adjacent sequences: A008619 A008620 A008621 * A008623 A008624 A008625
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KEYWORD
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nonn,easy,changed
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AUTHOR
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N. J. A. Sloane.
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STATUS
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approved
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