OFFSET
0,13
COMMENTS
Molien series of 3-dimensional representation of GL(3,2) over GF(2).
REFERENCES
D. J. Benson, Polynomial Invariants of Finite Groups, Cambridge, 1993, p. 106.
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..1000
A. Adem, Recent developments in the cohomology of finite groups, Notices Amer. Math. Soc., 44 (1997), 806-812.
INRIA Algorithms Project, Encyclopedia of Combinatorial Structures 231
Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 1, 0, 1, 1, 0, 0, -1, -1, 0, -1, 0, 0, 0, 1).
FORMULA
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
a(n) ~ 1/336*n^2. - Ralf Stephan, Apr 29 2014
MAPLE
1/(1-x^4)/(1-x^6)/(1-x^7);
MATHEMATICA
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 *)
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
STATUS
approved