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A037242 Molien series for 3-D group R2+R3. 0
1, 1, 4, 8, 17, 23, 43, 58, 84, 113, 155, 190, 253, 307, 380, 458, 557, 645, 775, 892, 1036, 1187, 1367, 1532, 1753, 1957, 2196, 2444, 2729, 2995, 3331, 3646, 4004, 4373, 4787, 5178, 5653, 6103, 6604, 7118 (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..39.

Index entries for Molien series

Index entries for linear recurrences with constant coefficients, signature (0,2,2,-1,-4,-1,2,2,0,-1).

FORMULA

(1+x+2*x^2+4*x^3+8*x^4+4*x^5+2*x^6+x^7+x^8)/(1-x^2)^2/(1-x^3)^2

MATHEMATICA

LinearRecurrence[{0, 2, 2, -1, -4, -1, 2, 2, 0, -1}, {1, 1, 4, 8, 17, 23, 43, 58, 84, 113}, 60] (* Harvey P. Dale, Jan 20 2019 *)

CROSSREFS

Sequence in context: A031462 A045066 A151911 * A158139 A026393 A298950

Adjacent sequences:  A037239 A037240 A037241 * A037243 A037244 A037245

KEYWORD

nonn,changed

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified January 21 11:21 EST 2019. Contains 319354 sequences. (Running on oeis4.)