id:A123390 - OEIS Search Results

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Triangle read by rows: n-th row starts with n and continues with half the previous value as long as that is even.

+0
2

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

	OFFSET	`1,2`
	COMMENT	`A fractal sequence, generated by the rule a(n) is a new maximum when a(n-1) is odd, and a repetition of an earlier value when a(n-1) is even.`
	FORMULA	`a(1) = 1, for n > 1, if a(n-1) is even, a(n) = a(n-1)/2, otherwise a(n) = (max_{k<n} a(k)) + 1.` `Ordinal transform of A082850.`
	CROSSREFS	`Row lengths are A001511. Cf. A120385.` `Sequence in context: A133923 A125158 A112384 this_sequence A088208 A081878 A088606` `Adjacent sequences: A123387 A123388 A123389 this_sequence A123391 A123392 A123393`
	KEYWORD	`nonn,tabf`
	AUTHOR	`Franklin T. Adams-Watters (FrankTAW(AT)Netscape.net), Oct 13 2006`

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Last modified July 25 07:41 EDT 2008. Contains 142293 sequences.

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