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URL: https://oeis.org/A037145

⇱ A037145 - OEIS

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A037145
Expansion of 1/((1-x^2)(1-x^3)...(1-x^6)).
13
1, 0, 1, 1, 2, 2, 4, 3, 6, 6, 9, 9, 14, 13, 19, 20, 26, 27, 36, 36, 47, 49, 60, 63, 78, 80, 97, 102, 120, 126, 149, 154, 180, 189, 216, 227, 260, 270, 307, 322, 361, 378, 424, 441, 492, 515, 568, 594, 656, 682, 750
OFFSET
0,5
COMMENTS
Also, Molien series for invariants of finite Coxeter group A_5. The Molien series for the finite Coxeter group of type A_k (k >= 1) has G.f. = 1/Prod_{i=2..k+1} (1-x^i). - N. J. A. Sloane, Jan 11 2016
REFERENCES
J. E. Humphreys, Reflection Groups and Coxeter Groups, Cambridge, 1990. See Table 3.1, page 59.
LINKS
Index entries for linear recurrences with constant coefficients, signature (0, 1, 1, 1, 0, 0, -2, -2, -1, 0, 1, 2, 2, 0, 0, -1, -1, -1, 0, 1).
MATHEMATICA
CoefficientList[Series[1/Times@@Table[(1-x^n), {n, 2, 6}], {x, 0, 50}], x] (* Harvey P. Dale, Dec 25 2012 *)
CROSSREFS
Molien series for finite Coxeter groups A_1 through A_12 are A059841, A103221, A266755, A008667, A037145, A001996, and A266776-A266781.
Cf. A001402 (partial sums).
Sequence in context: A090105 A082146 A391231 * A341466 A357709 A238790
KEYWORD
nonn,easy
STATUS
approved