

A166463


Number of reduced words of length n in Coxeter group on 50 generators S_i with relations (S_i)^2 = (S_i S_j)^11 = I.


1



1, 50, 2450, 120050, 5882450, 288240050, 14123762450, 692064360050, 33911153642450, 1661646528480050, 81420679895522450, 3989613314880598825, 195491052429149282400, 9579061569028311897600, 469374016882387138922400
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OFFSET

0,2


COMMENTS

The initial terms coincide with those of A170769, although the two sequences are eventually different.
Computed with MAGMA using commands similar to those used to compute A154638.


LINKS

Index entries for linear recurrences with constant coefficients, signature (48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 1176).


FORMULA

G.f.: (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)/(1176*t^11  48*t^10  48*t^9  48*t^8  48*t^7  48*t^6  48*t^5  48*t^4  48*t^3  48*t^2  48*t + 1).


MATHEMATICA

CoefficientList[Series[(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)/(1176*t^11  48*t^10  48*t^9  48*t^8  48*t^7  48*t^6  48*t^5  48*t^4  48*t^3  48*t^2  48*t + 1 ), {t, 0, 50}], t] (* G. C. Greubel, May 15 2016 *)


CROSSREFS



KEYWORD

nonn


AUTHOR



STATUS

approved



