id:A122005 - OEIS Search Results

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A122005

Triangle read by rows: n-th row starts with n and continues with 1/3 the previous value as long as that is an integer.

+0
1

1, 2, 3, 1, 4, 5, 6, 2, 7, 8, 9, 3, 1, 10, 11, 12, 4, 13, 14, 15, 5, 16, 17, 18, 6, 2, 19, 20, 21, 7, 22, 23, 24, 8, 25, 26, 27, 9, 3, 1, 28, 29, 30, 10, 31, 32, 33, 11, 34, 35, 36, 12, 4, 37, 38, 39, 13, 40, 41, 42, 14, 43, 44, 45, 15, 5, 46, 47, 48, 12, 4, 49, 50, 51, 17 (list; graph; listen)

	OFFSET	`1,2`
	COMMENT	`A fractal sequence, which is to 3 as A123390 is to 2. Row lengths are A051064 3^a(n) exactly divides 3n. Or, 3-adic valuation of 3n.`
	FORMULA	`a(1) = 1, for n > 1, if 3\|a(n-1) then a(n) = a(n-1)/3, otherwise a(n) = (max_{k<n} a(k)) + 1.`
	CROSSREFS	`Cf. A051064, A123390.` `Sequence in context: A055449 A055442 A055439 this_sequence A117385 A071517 A046671` `Adjacent sequences: A122002 A122003 A122004 this_sequence A122006 A122007 A122008`
	KEYWORD	`easy,nonn,tabf`
	AUTHOR	`Jonathan Vos Post (jvospost3(AT)gmail.com), Oct 14 2006`

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Last modified December 7 08:40 EST 2009. Contains 170430 sequences.

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