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 A166254 Number of reduced words of length n in Coxeter group on 44 generators S_i with relations (S_i)^2 = (S_i S_j)^10 = I. 1
 1, 44, 1892, 81356, 3498308, 150427244, 6468371492, 278139974156, 11960018888708, 514280812214444, 22114074925220146, 950905221784425600, 40888924536728552592, 1758223755079252588512, 75603621468404628869424 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS The initial terms coincide with those of A170763, 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 (42, 42, 42, 42, 42, 42, 42, 42, 42, -903). 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)/(903*t^10 - 42*t^9 - 42*t^8 - 42*t^7 - 42*t^6 - 42*t^5 - 42*t^4 - 42*t^3 - 42*t^2 - 42*t + 1). MAPLE seq(coeff(series((1+t)*(1-t^10)/(1-43*t+945*t^10-903*t^11), t, n+1), t, n), n = 0 .. 30); # G. C. Greubel, Mar 11 2020 MATHEMATICA CoefficientList[Series[(1+t)*(1-t^10)/(1-43*t+945*t^10-903*t^11), {t, 0, 30}], t] (* G. C. Greubel, May 08 2016 *) coxG[{10, 903, -42}] (* The coxG program is at A169452 *) (* Harvey P. Dale, Apr 18 2018 *) PROG (Sage) def A166254_list(prec): P. = PowerSeriesRing(ZZ, prec) return P( (1+t)*(1-t^10)/(1-43*t+945*t^10-903*t^11) ).list() A166254_list(30) # G. C. Greubel, Aug 10 2019 CROSSREFS Sequence in context: A164688 A165176 A165695 * A166438 A166723 A167097 Adjacent sequences: A166251 A166252 A166253 * A166255 A166256 A166257 KEYWORD nonn AUTHOR John Cannon and N. J. A. Sloane, Dec 03 2009 STATUS approved

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Last modified March 28 14:50 EDT 2023. Contains 361595 sequences. (Running on oeis4.)