A166430 - OEIS

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A166430

Number of reduced words of length n in Coxeter group on 36 generators S_i with relations (S_i)^2 = (S_i S_j)^11 = I.

1, 36, 1260, 44100, 1543500, 54022500, 1890787500, 66177562500, 2316214687500, 81067514062500, 2837362992187500, 99307704726561870, 3475769665429643400, 121651938290036747880, 4257817840151259186600, 149023624405293126909000 (list; graph; refs; listen; history; text; internal format)

	OFFSET	`0,2`
	COMMENTS	`The initial terms coincide with those of A170755, 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..15.`
	FORMULA	`G.f. (t^11 + 2t^10 + 2t^9 + 2t^8 + 2t^7 + 2t^6 + 2t^5 + 2t^4 + 2t^3 +` `2t^2 + 2t + 1)/(595t^11 - 34t^10 - 34t^9 - 34t^8 - 34t^7 - 34t^6` `- 34t^5 - 34t^4 - 34t^3 - 34t^2 - 34*t + 1)`
	CROSSREFS	`Sequence in context: A165168 A165651 A166165 * A166688 A167089 A167429` `Adjacent sequences: A166427 A166428 A166429 * A166431 A166432 A166433`
	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 19 00:29 EDT 2013. Contains 225428 sequences.