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A164695
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Number of reduced words of length n in Coxeter group on 50 generators S_i with relations (S_i)^2 = (S_i S_j)^7 = I.
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0
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1, 50, 2450, 120050, 5882450, 288240050, 14123762450, 692064358825, 33911153522400, 1661646519657600, 81420679319162400, 3989613279580017600, 195491050353532802400, 9579061450374592377600, 469374010237877795941800
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OFFSET
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0,2
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COMMENTS
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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.
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LINKS
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Table of n, a(n) for n=0..14.
Index entries for linear recurrences with constant coefficients, signature (48, 48, 48, 48, 48, 48, -1176).
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FORMULA
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G.f. (t^7 + 2*t^6 + 2*t^5 + 2*t^4 + 2*t^3 + 2*t^2 + 2*t + 1)/(1176*t^7 - 48*t^6 -
48*t^5 - 48*t^4 - 48*t^3 - 48*t^2 - 48*t + 1)
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CROSSREFS
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Sequence in context: A163290 A163837 A164351 * A165182 A165726 A166325
Adjacent sequences: A164692 A164693 A164694 * A164696 A164697 A164698
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KEYWORD
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nonn
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AUTHOR
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John Cannon and N. J. A. Sloane, Dec 03 2009
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STATUS
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approved
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