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 A166233 Number of reduced words of length n in Coxeter group on 43 generators S_i with relations (S_i)^2 = (S_i S_j)^10 = I. 1
 1, 43, 1806, 75852, 3185784, 133802928, 5619722976, 236028364992, 9913191329664, 416354035845888, 17486869505526393, 734448519232070580, 30846837807745372371, 1295567187925238776044, 54413821892857220325252 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS The initial terms coincide with those of A170762, 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..500 Index entries for linear recurrences with constant coefficients, signature (41, 41, 41, 41, 41, 41, 41, 41, 41, -861). FORMULA G.f.: (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)/(861*t^10 - 41*t^9 - 41*t^8 - 41*t^7 - 41*t^6 - 41*t^5 - 41*t^4 - 41*t^3 - 41*t^2 - 41*t + 1). MAPLE seq(coeff(series((1+t)*(1-t^10)/(1-42*t+902*t^10-861*t^11), t, n+1), t, n), n = 0 .. 30); # G. C. Greubel, Mar 11 2020 MATHEMATICA CoefficientList[Series[(1+t)*(1-t^10)/(1-42*t+902*t^10-861*t^11), {t, 0, 30}], t] (* G. C. Greubel, May 07 2016 *) coxG[{10, 861, -41}] (* The coxG program is at A169452 *) (* Harvey P. Dale, May 10 2018 *) PROG (Sage) def A166233_list(prec):     P. = PowerSeriesRing(ZZ, prec)     return P( (1+t)*(1-t^10)/(1-42*t+902*t^10-861*t^11) ).list() A166233_list(30) # G. C. Greubel, Aug 10 2019 CROSSREFS Sequence in context: A164687 A165175 A165694 * A166437 A166717 A167096 Adjacent sequences:  A166230 A166231 A166232 * A166234 A166235 A166236 KEYWORD nonn AUTHOR John Cannon and N. J. A. Sloane, Dec 03 2009 STATUS approved

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Last modified September 17 16:50 EDT 2021. Contains 347487 sequences. (Running on oeis4.)