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A013978
Molien series of 4-dimensional representation of u.g.g.r. #8.
1
1, 0, 10, 20, 40, 75, 130, 179, 283, 383, 513, 678, 883, 1078, 1372, 1658, 1994, 2385, 2836, 3273, 3853, 4421, 5059, 5772, 6565, 7340, 8302, 9248, 10284, 11415, 12646, 13855, 15295, 16715, 18245, 19890
OFFSET
0,3
LINKS
Eiichi Bannai and Michio Ozeki, Construction of Jacobi forms from certain combinatorial polynomials, Proc. Japan Acad. A72 12-15 1996.
G. C. Shephard and J. A. Todd, Finite unitary reflection groups, Canadian J. Math. 6, (1954), 274--304. MR0059914 (15,600b)
FORMULA
a(n) ~ 4/9*n^3. - Ralf Stephan, Apr 29 2014
MAPLE
(1+8*x^2+18*x^3+21*x^4+19*x^5+21*x^6+7*x^7+x^8)/(1-x^2)^2/(1-x^3)^2;
MATHEMATICA
CoefficientList[Series[(1 + 8 x^2 + 18 x^3 + 21 x^4 + 19 x^5 + 21 x^6 + 7 x^7 + x^8) / (1 - x^2)^2 / (1 - x^3)^2, {x, 0, 60}], x] (* Vincenzo Librandi, Aug 15 2013 *)
CROSSREFS
Sequence in context: A020953 A033846 A114931 * A241608 A053162 A110804
KEYWORD
nonn,easy
AUTHOR
STATUS
approved