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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 (list; graph; refs; listen; history; text; internal format)
 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: A011754 A090105 A082146 * A238790 A238787 A293170 Adjacent sequences:  A037142 A037143 A037144 * A037146 A037147 A037148 KEYWORD nonn,easy AUTHOR STATUS approved

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Last modified August 7 08:08 EDT 2020. Contains 336274 sequences. (Running on oeis4.)