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 A164332 Number of reduced words of length n in Coxeter group on 47 generators S_i with relations (S_i)^2 = (S_i S_j)^6 = I. 2
 1, 47, 2162, 99452, 4574792, 210440432, 9680258791, 445291854660, 20483423028045, 942237354119580, 43342913451658140, 1993773796235517600, 91713584389960162440, 4218824411042032288125, 194065901246713684538250 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS The initial terms coincide with those of A170766, although the two sequences are eventually different. Computed with MAGMA using commands similar to those used to compute A154638. LINKS G. C. Greubel, Table of n, a(n) for n = 0..600 Index entries for linear recurrences with constant coefficients, signature (45, 45, 45, 45, 45, -1035). FORMULA G.f.: (t^6 + 2*t^5 + 2*t^4 + 2*t^3 + 2*t^2 + 2*t + 1)/(1035*t^6 - 45*t^5 - 45*t^4 - 45*t^3 - 45*t^2 - 45*t + 1). G.f.: (1+x)*(1-x^6)/(1 -46*x +1080*x^6 -1035*x^7). - G. C. Greubel, Apr 25 2019 MATHEMATICA CoefficientList[Series[(1+x)*(1-x^6)/(1-46*x+1080*x^6-1035*x^7), {x, 0, 20}], x] (* G. C. Greubel, Sep 14 2017, modified Apr 25 2019 *) coxG[{6, 1035, -45}] (* The coxG program is at A169452 *) (* G. C. Greubel, Apr 25 2019 *) PROG (PARI) my(x='x+O('x^20)); Vec((1+x)*(1-x^6)/(1-46*x+1080*x^6-1035*x^7)) \\ G. C. Greubel, Sep 14 2017, modified Apr 25 2019 (MAGMA) R:=PowerSeriesRing(Integers(), 20); Coefficients(R!( (1+x)*(1-x^6)/(1-46*x+1080*x^6-1035*x^7) )); // G. C. Greubel, Apr 25 2019 (Sage) ((1+x)*(1-x^6)/(1-46*x+1080*x^6-1035*x^7)).series(x, 20).coefficients(x, sparse=False) # G. C. Greubel, Apr 25 2019 CROSSREFS Sequence in context: A162896 A163265 A163803 * A164692 A165179 A165703 Adjacent sequences:  A164329 A164330 A164331 * A164333 A164334 A164335 KEYWORD nonn AUTHOR John Cannon and N. J. A. Sloane, Dec 03 2009 STATUS approved

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Last modified August 6 12:30 EDT 2020. Contains 336246 sequences. (Running on oeis4.)