id:A093347 - OEIS Search Results

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A 3-fractal "castle" starting with 0.

+0
9

0, 1, 0, 3, 2, 3, 0, 1, 0, 9, 8, 9, 6, 7, 6, 9, 8, 9, 0, 1, 0, 3, 2, 3, 0, 1, 0, 27, 26, 27, 24, 25, 24, 27, 26, 27, 18, 19, 18, 21, 20, 21, 18, 19, 18, 27, 26, 27, 24, 25, 24, 27, 26, 27, 0, 1, 0, 3, 2, 3, 0, 1, 0, 9, 8, 9, 6, 7, 6, 9, 8, 9, 0, 1, 0, 3, 2, 3, 0, 1, 0, 81, 80, 81, 78, 79, 78, 81 (list; graph; listen)

	OFFSET	`1,4`
	LINKS	`B. Cloitre, Graph of a(n) for n=1 up to 9` `B. Cloitre, Graph of a(n) for n=1 up to 27` `B. Cloitre, Graph of a(n) for n=1 up to 81` `B. Cloitre, Graph of a(n) for n=1 up to 243`
	FORMULA	`a(1)=0 then a(n)=w(n)-a(n-w(n)) where w(n)=3^floor(log(n-1)/log(3)).` `a(3^n)=0, a(3^n+1)=3^n, a(3^n+2)=3^n-1, a(3^n+3)=3^n etc.` `a(n) = sum(i=1, n-1, (-1)^(i-1)*3^valuation(i, 3))`
	PROGRAM	`(PARI) a(n)=if(n<2, 0, 3^floor(log(n-1)/log(3))-a(n-3^floor(log(n-1)/log(3))))`
	CROSSREFS	`Cf. A093348, A093349` `Cf. A038500.` `Sequence in context: A016458 A058513 A047160 this_sequence A134676 A103491 A089306` `Adjacent sequences: A093344 A093345 A093346 this_sequence A093348 A093349 A093350`
	KEYWORD	`nonn`
	AUTHOR	`Benoit Cloitre (benoit7848c(AT)orange.fr), Apr 26 2004`

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Last modified December 11 12:57 EST 2009. Contains 170656 sequences.

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