A166171 - OEIS

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A166171

Number of reduced words of length n in Coxeter group on 39 generators S_i with relations (S_i)^2 = (S_i S_j)^10 = I.

1, 39, 1482, 56316, 2140008, 81320304, 3090171552, 117426518976, 4462207721088, 169563893401344, 6443427949250331, 244850262071484420, 9304309958715338697, 353563778431142238492, 13435423580381861046924 (list; graph; refs; listen; history; text; internal format)

	OFFSET	`0,2`
	COMMENTS	`The initial terms coincide with those of A170758, although the two sequences are eventually different.` `Computed with MAGMA using commands similar to those used to compute A154638.`
	LINKS	`Table of n, a(n) for n=0..14.`
	FORMULA	`G.f. (t^10 + 2t^9 + 2t^8 + 2t^7 + 2t^6 + 2t^5 + 2t^4 + 2t^3 + 2t^2 + 2t` `+ 1)/(703t^10 - 37t^9 - 37t^8 - 37t^7 - 37t^6 - 37t^5 - 37t^4 -` `37t^3 - 37t^2 - 37*t + 1)`
	CROSSREFS	`Sequence in context: A164681 A165171 A165688 * A166433 A166691 A167092` `Adjacent sequences: A166168 A166169 A166170 * A166172 A166173 A166174`
	KEYWORD	`nonn`
	AUTHOR	`John Cannon (john(AT)maths.usyd.edu.au) and N. J. A. Sloane, Dec 03 2009`
	STATUS	`approved`

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Last modified May 24 22:42 EDT 2013. Contains 225631 sequences.