A013978 Molien series of 4-dimensional representation of u.g.g.r. #8.

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

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

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)

Index entries for Molien series

Index entries for linear recurrences with constant coefficients, signature (0,2,2,-1,-4,-1,2,2,0,-1).

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

Adjacent sequences: A013975 A013976 A013977 * A013979 A013980 A013981

Keyword

nonn,easy

Author

N. J. A. Sloane.

Status

approved