A081604 - OEIS

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A081604

String-length of ternary representation of n.

1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5 (list; graph; refs; listen; history; text; internal format)

	OFFSET	`0,4`
	LINKS	`R. Zumkeller, Table of n, a(n) for n = 0..10000` `Eric Weisstein's World of Mathematics, Ternary.`
	FORMULA	`a(n) = A062153(n) + 1 for n>=1.` `a(n) = A077267(n) + A062756(n) + A081603(n);` `From Reinhard Zumkeller, Oct 19 2007. (Start)` `0 <= A134021(n) - a(n) <= 1;` `a(A134025(n)) = A134021(A134025(n));` `a(A134026(n)) = A134021(A134026(n)) - 1. (End)` `a(n+1) = -sum(k=1..n, mu(3k)floor(n/k)) [From Benoit Cloitre, Oct 21 2009]` `a(n) = floor(log_3(n)) + 1. [Can Atilgan and Murat Erşen Berberler, Dec 05 2012]`
	EXAMPLE	`a(8) = 2 because 8 = 22_3, having 2 digits.` `a(9) = 3 because 9 = 100_3, having 3 digits.`
	MATHEMATICA	`Table[Length[IntegerDigits[n, 3]], {n, 0, 99}] (* Alonso del Arte, Dec 30 2012 *)`
	PROG	`(Haskell)` `a081604 = length . a030341_row -- Reinhard Zumkeller, Feb 21 2013`
	CROSSREFS	`Cf. A007089, A080342.` `Cf. A003137, A030341.` `Sequence in context: A182434 A185679 A080342 * A123119 A099396 A126235` `Adjacent sequences: A081601 A081602 A081603 * A081605 A081606 A081607`
	KEYWORD	`nonn,base`
	AUTHOR	`Reinhard Zumkeller, Mar 23 2003`
	STATUS	`approved`

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Last modified May 22 21:43 EDT 2013. Contains 225583 sequences.