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A008669
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Molien series for 4-dimensional complex reflection group of order 7680 (in powers of x^4).
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1
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1, 1, 2, 3, 4, 6, 8, 10, 13, 16, 20, 24, 29, 34, 40, 47, 54, 62, 71, 80, 91, 102, 114, 127, 141, 156, 172, 189, 207, 226, 247, 268, 291, 315, 340, 367, 395, 424, 455, 487, 521, 556, 593, 631, 671, 713, 756, 801, 848, 896, 947, 999, 1053, 1109, 1167, 1227, 1289
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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REFERENCES
| L. Comtet, Advanced Combinatorics, Reidel, 1974, p. 120, D(n;1,2,3,5).
L. Smith, Polynomial Invariants of Finite Groups, Peters, 1995, p. 199 (No. 29).
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LINKS
| Vincenzo Librandi, Table of n, a(n) for n = 0..10000
INRIA Algorithms Project, Encyclopedia of Combinatorial Structures 239
Index entries for two-way infinite sequences
Index to sequences with linear recurrences with constant coefficients, signature (1,1,0,-1,0,0,-1,0,1,1,-1).
Index entries for Molien series
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FORMULA
| a(n) = round((n+3)*(2*n+9)*(n+9)/360).
G.f.: 1/((1-x)(1-x^2)(1-x^3)(1-x^5)). a(n)=-a(-11-n).
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MAPLE
| 1/(1-x)/(1-x^2)/(1-x^3)/(1-x^5)
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PROG
| (PARI) a(n)=round((n+3)*(2*n+9)*(n+9)/360)
(MAGMA) [Round((n+3)*(2*n+9)*(n+9)/360): n in [0..60]]; // Vincenzo Librandi, Jun 23 2011
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CROSSREFS
| Sequence in context: A049700 A002984 A109965 * A055104 A062435 A171997
Adjacent sequences: A008666 A008667 A008668 * A008670 A008671 A008672
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KEYWORD
| nonn,easy
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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