A071539 - OEIS

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A071539

Number of n-tuples of elements e_1,e_2,...,e_n in the symmetric group S_3 such that the subgroup generated by e_1,e_2,...,e_n is S_3.

0, 18, 168, 1170, 7440, 45738, 277368, 1672290, 10056480, 60404058 (list; graph; refs; listen; history; internal format)

	OFFSET	`1,2`
	COMMENTS	`G.F. is (-18x + 48x^2) / (1 - 12x + 36x^4 + 47x^2 - 72x^3).`
	FORMULA	`a(n) = 6^n - 3*2^n - 3^n + 3`
	CROSSREFS	`Sequence in context: A099196 A041618 A055915 * A125381 A126539 A161499` `Adjacent sequences: A071536 A071537 A071538 * A071540 A071541 A071542`
	KEYWORD	`nonn`
	AUTHOR	`Sharon Sela (sharonsela(AT)hotmail.com), Jun 02 2002`

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Last modified February 16 21:04 EST 2012. Contains 205969 sequences.