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 A167815 Number of reduced words of length n in Coxeter group on 36 generators S_i with relations (S_i)^2 = (S_i S_j)^15 = I. 0
 1, 36, 1260, 44100, 1543500, 54022500, 1890787500, 66177562500, 2316214687500, 81067514062500, 2837362992187500, 99307704726562500, 3475769665429687500, 121651938290039062500, 4257817840151367187500, 149023624405297851561870 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS The initial terms coincide with those of A170755, although the two sequences are eventually different. Computed with MAGMA using commands similar to those used to compute A154638. LINKS FORMULA G.f. (t^15 + 2*t^14 + 2*t^13 + 2*t^12 + 2*t^11 + 2*t^10 + 2*t^9 + 2*t^8 + 2*t^7 + 2*t^6 + 2*t^5 + 2*t^4 + 2*t^3 + 2*t^2 + 2*t + 1)/(595*t^15 - 34*t^14 - 34*t^13 - 34*t^12 - 34*t^11 - 34*t^10 - 34*t^9 - 34*t^8 - 34*t^7 - 34*t^6 - 34*t^5 - 34*t^4 - 34*t^3 - 34*t^2 - 34*t + 1) CROSSREFS Sequence in context: A166688 A167089 A167429 * A063819 A167952 A168713 Adjacent sequences:  A167812 A167813 A167814 * A167816 A167817 A167818 KEYWORD nonn AUTHOR John Cannon (john(AT)maths.usyd.edu.au) and N. J. A. Sloane, Dec 03 2009 STATUS approved

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