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 A163829 Number of reduced words of length n in Coxeter group on 48 generators S_i with relations (S_i)^2 = (S_i S_j)^5 = I. 3
 1, 48, 2256, 106032, 4983504, 234223560, 11008454304, 517394861664, 24317441438880, 1142914245838944, 53716710971646072, 2524673262335033136, 118659072125876564688, 5576949543463542381360, 262115366765585626863312 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS The initial terms coincide with those of A170767, 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..595 Index entries for linear recurrences with constant coefficients, signature (46, 46, 46, 46, -1081). FORMULA G.f.: (t^5 + 2*t^4 + 2*t^3 + 2*t^2 + 2*t + 1)/(1081*t^5 - 46*t^4 - 46*t^3 - 46*t^2 - 46*t + 1). G.f.: (1+x)*(1-x^5)/(1 -47*x +1127*x^5 -1081*x^6). - G. C. Greubel, Apr 25 2019 MATHEMATICA CoefficientList[Series[(1+x)*(1-x^5)/(1-47*x+1127*x^5-1081*x^6), {x, 0, 20}], x] (* G. C. Greubel, Aug 05 2017, modified Apr 25 2019 *) PROG (PARI) my(x='x+O('x^20)); Vec((1+x)*(1-x^5)/(1-47*x+1127*x^5-1081*x^6)) \\ G. C. Greubel, Aug 05 2017, modified Apr 25 2019 (MAGMA) R:=PowerSeriesRing(Integers(), 20); Coefficients(R!( (1+x)*(1-x^5)/(1-47*x+1127*x^5-1081*x^6) )); // G. C. Greubel, Apr 25 2019 (Sage) ((1+x)*(1-x^5)/(1-47*x+1127*x^5-1081*x^6)).series(x, 20).coefficients(x, sparse=False) # G. C. Greubel, Apr 25 2019 CROSSREFS Sequence in context: A162913 A156093 A163266 * A164348 A164693 A165180 Adjacent sequences:  A163826 A163827 A163828 * A163830 A163831 A163832 KEYWORD nonn AUTHOR John Cannon and N. J. A. Sloane, Dec 03 2009 STATUS approved

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Last modified July 14 02:55 EDT 2020. Contains 335716 sequences. (Running on oeis4.)