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 A089012 a(n) = 1 if n is an exponent of the Weyl group W(E_6), 0 otherwise. 1
 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS The exponents are 1, 4, 5, 7, 8, 11. The point of this sequence is that a similar generating function gives the exponents for any finite Coxeter group. LINKS Antti Karttunen, Table of n, a(n) for n = 1..1001 FORMULA G.f.: (1-x^8)*(1-x^9)/((1-x^3)*(1-x^4)). MATHEMATICA CoefficientList[Series[(1 - x^8) (1 - x^9)/((1 - x^3) (1 - x^4)), {x, 0, 11}], x] (* Michael De Vlieger, Oct 10 2017 *) PROG (Scheme) (define (A089012 n) (if (member n '(1 4 5 7 8 11)) 1 0)) ;; Antti Karttunen, Oct 10 2017 CROSSREFS Characteristic function of A005556. Sequence in context: A078650 A285305 A028863 * A083035 A187074 A188398 Adjacent sequences:  A089009 A089010 A089011 * A089013 A089014 A089015 KEYWORD easy,nonn AUTHOR Paul Boddington, Nov 03 2003 EXTENSIONS More zeros from Antti Karttunen, Oct 10 2017 STATUS approved

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Last modified April 12 12:14 EDT 2021. Contains 342920 sequences. (Running on oeis4.)