|
|
A037241
|
|
Molien series for 3-D group X3.
|
|
0
|
|
|
1, 1, 7, 16, 46, 92, 197, 346, 616, 989, 1575, 2352, 3483, 4928, 6912, 9390, 12642, 16617, 21676, 27742, 35266, 44164, 54964, 67574, 82631, 100009, 120463, 143858, 171048, 201888, 237369, 277304, 322830, 373749, 431319, 495330, 567205, 646684
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,3
|
|
REFERENCES
|
Jaric and Birman, J. Math. Phys. 18 (1977), 1459-1465; 2085.
|
|
LINKS
|
Index entries for linear recurrences with constant coefficients, signature (1,3,-1,-5,-3,6,6,-3,-5,-1,3,1,-1).
|
|
FORMULA
|
(1+3*x^2+7*x^3+15*x^4+13*x^5+15*x^6+8*x^7+4*x^8)/(1-x)/(1-x^2)^3/(1-x^3)^2
|
|
MATHEMATICA
|
LinearRecurrence[{1, 3, -1, -5, -3, 6, 6, -3, -5, -1, 3, 1, -1}, {1, 1, 7, 16, 46, 92, 197, 346, 616, 989, 1575, 2352, 3483}, 38]
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
EXTENSIONS
|
However, the errata (page 2085) may have a correction to this formula, so the sequence may be wrong.
|
|
STATUS
|
approved
|
|
|
|