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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

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

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Last modified December 2 05:01 EST 2021. Contains 349437 sequences. (Running on oeis4.)