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A165140
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Number of reduced words of length n in Coxeter group on 33 generators S_i with relations (S_i)^2 = (S_i S_j)^8 = I.
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0
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1, 33, 1056, 33792, 1081344, 34603008, 1107296256, 35433480192, 1133871365616, 36283883682816, 1161084277309968, 37154696856634368, 1188950298859192320, 38046409545794715648, 1217485104899048865792, 38959523338645338587136
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| The initial terms coincide with those of A170752, although the two sequences are eventually different.
Computed with MAGMA using commands similar to those used to compute A154638.
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FORMULA
| G.f. (t^8 + 2*t^7 + 2*t^6 + 2*t^5 + 2*t^4 + 2*t^3 + 2*t^2 + 2*t + 1)/(496*t^8 -
31*t^7 - 31*t^6 - 31*t^5 - 31*t^4 - 31*t^3 - 31*t^2 - 31*t + 1)
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CROSSREFS
| Sequence in context: A163567 A164049 A164669 * A165645 A166129 A166427
Adjacent sequences: A165137 A165138 A165139 * A165141 A165142 A165143
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KEYWORD
| nonn
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AUTHOR
| John Cannon (john(AT)maths.usyd.edu.au) and N. J. A. Sloane (njas(AT)research.att.com), Dec 03 2009
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