A007734 - OEIS

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A007734

Period of repeating digits of 1/n in base 3.

1, 1, 1, 2, 4, 1, 6, 2, 1, 4, 5, 2, 3, 6, 4, 4, 16, 1, 18, 4, 6, 5, 11, 2, 20, 3, 1, 6, 28, 4, 30, 8, 5, 16, 12, 2, 18, 18, 3, 4, 8, 6, 42, 10, 4, 11, 23, 4, 42, 20, 16, 6, 52, 1, 20, 6, 18, 28, 29, 4, 10, 30, 6, 16, 12, 5, 22, 16, 11, 12, 35, 2, 12, 18, 20, 18, 30, 3, 78, 4, 1, 8, 41, 6, 16, 42 (list; graph; refs; listen; history; internal format)

	OFFSET	`1,4`
	LINKS	`T. D. Noe, Table of n, a(n) for n=1..1000` `Index entries for sequences related to decimal expansion of 1/n`
	MATHEMATICA	`f[n_] := MultiplicativeOrder[3, n/(3^IntegerExponent[n, 3])]; Array[f, 80] (* Robert G. Wilson v, June 10 2011 *)`
	PROG	`(PARI) a(n)=znorder(Mod(3, n/3^valuation(n, 3))) \\ Charles R Greathouse IV, Jun 10 2011`
	CROSSREFS	`Sequence in context: A125847 A078886 A095247 * A171233 A096907 A081879` `Adjacent sequences: A007731 A007732 A007733 * A007735 A007736 A007737`
	KEYWORD	`nonn,base`
	AUTHOR	`N. J. A. Sloane (njas(AT)research.att.com), Hal Sampson [ hals(AT)easynet.com ]`
	EXTENSIONS	`More terms from David W. Wilson (davidwwilson(AT)comcast.net)`

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Last modified February 16 19:39 EST 2012. Contains 205945 sequences.