

A037241


Molien series for 3D 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), 14591465; 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)/(1x)/(1x^2)^3/(1x^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



