A037241 Molien series for 3-D group X3.

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

Offset

0,3

References

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

Links

Table of n, a(n) for n=0..37.

Index entries for Molien series

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]
(* Ray Chandler, Jul 15 2015 *)

Crossrefs

Sequence in context: A055553 A066009 A304013 * A154141 A173661 A152530

Adjacent sequences: A037238 A037239 A037240 * A037242 A037243 A037244

Keyword

nonn

Author

N. J. A. Sloane.

Extensions

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

Status

approved