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Molien series for 3-D group X3.
0

%I #12 Jul 15 2015 18:26:06

%S 1,1,7,16,46,92,197,346,616,989,1575,2352,3483,4928,6912,9390,12642,

%T 16617,21676,27742,35266,44164,54964,67574,82631,100009,120463,143858,

%U 171048,201888,237369,277304,322830,373749,431319,495330,567205,646684

%N Molien series for 3-D group X3.

%D Jaric and Birman, J. Math. Phys. 18 (1977), 1459-1465; 2085.

%H <a href="/index/Mo#Molien">Index entries for Molien series</a>

%H <a href="/index/Rec#order_13">Index entries for linear recurrences with constant coefficients</a>, signature (1,3,-1,-5,-3,6,6,-3,-5,-1,3,1,-1).

%F (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

%t 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]

%t (* _Ray Chandler_, Jul 15 2015 *)

%K nonn

%O 0,3

%A _N. J. A. Sloane_.

%E However, the errata (page 2085) may have a correction to this formula, so the sequence may be wrong.