A008581 - OEIS

A008581

Molien series for 6-dimensional complex reflection group 4.U_4 (3) of order 2^9 .3^7 .5.7.

1, 1, 2, 3, 5, 7, 10, 14, 19, 25, 33, 42, 54, 67, 84, 103, 126, 152, 183, 218, 259, 305, 358, 417, 485, 560, 645, 739, 845, 961, 1091, 1233, 1391, 1563, 1753, 1960, 2187, 2433, 2702, 2993, 3310, 3651, 4022, 4420, 4851, 5313, 5811, 6344, 6917, 7529, 8185, 8884

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OFFSET

0,3

REFERENCES

L. Smith, Polynomial Invariants of Finite Groups, Peters, 1995, p. 199 (No. 34).

LINKS

Table of n, a(n) for n=0..51.

INRIA Algorithms Project, Encyclopedia of Combinatorial Structures 249

Index entries for Molien series

FORMULA

G.f.: 1 / ((1-x) * (1-x^2) * (1-x^3) * (1-x^4) * (1-x^5) * (1-x^7)). - Sean A. Irvine, Apr 01 2018

a(n) = floor((3*n^5+165*n^4+3370*n^3+31350*n^2+131400*n+302400)/302400 - (n mod 2)*n/64). - Hoang Xuan Thanh, Apr 01 2026