A170587 - OEIS

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A170587

Number of reduced words of length n in Coxeter group on 50 generators S_i with relations (S_i)^2 = (S_i S_j)^47 = I.

1, 50, 2450, 120050, 5882450, 288240050, 14123762450, 692064360050, 33911153642450, 1661646528480050, 81420679895522450, 3989613314880600050, 195491052429149402450, 9579061569028320720050, 469374016882387715282450 (list; graph; refs; listen; history; text; internal format)

	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	`Table of n, a(n) for n=0..14.`
	FORMULA	`G.f. (t^47 + 2t^46 + 2t^45 + 2t^44 + 2t^43 + 2t^42 + 2t^41 + 2t^40 +` `2t^39 + 2t^38 + 2t^37 + 2t^36 + 2t^35 + 2t^34 + 2t^33 + 2t^32 +` `2t^31 + 2t^30 + 2t^29 + 2t^28 + 2t^27 + 2t^26 + 2t^25 + 2t^24 +` `2t^23 + 2t^22 + 2t^21 + 2t^20 + 2t^19 + 2t^18 + 2t^17 + 2t^16 +` `2t^15 + 2t^14 + 2t^13 + 2t^12 + 2t^11 + 2t^10 + 2t^9 + 2t^8 +` `2t^7 + 2t^6 + 2t^5 + 2t^4 + 2t^3 + 2t^2 + 2t + 1)/(1176t^47 -` `48t^46 - 48t^45 - 48t^44 - 48t^43 - 48t^42 - 48t^41 - 48t^40 -` `48t^39 - 48t^38 - 48t^37 - 48t^36 - 48t^35 - 48t^34 - 48t^33 -` `48t^32 - 48t^31 - 48t^30 - 48t^29 - 48t^28 - 48t^27 - 48t^26 -` `48t^25 - 48t^24 - 48t^23 - 48t^22 - 48t^21 - 48t^20 - 48t^19 -` `48t^18 - 48t^17 - 48t^16 - 48t^15 - 48t^14 - 48t^13 - 48t^12 -` `48t^11 - 48t^10 - 48t^9 - 48t^8 - 48t^7 - 48t^6 - 48t^5 - 48t^4` `- 48t^3 - 48t^2 - 48*t + 1)`
	CROSSREFS	`Sequence in context: * A170635 A170683 A170731 A170769 A218753 A120998` `Adjacent sequences: A170584 A170585 A170586 * A170588 A170589 A170590`
	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 23 03:06 EDT 2013. Contains 225585 sequences.