id:A166238 - OEIS Search Results

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Horizontal para-"Middle" sequence: says which column of 3rd order Zeckendorf array (starting column count at 0) contains n

+0
1

0, 1, 2, 3, 0, 4, 0, 1, 5, 0, 1, 2, 6, 0, 1, 2, 3, 0, 7, 0, 1, 2, 3, 0, 4, 0, 1, 8, 0, 1, 2, 3, 0, 4, 0, 1, 5, 0, 1, 2, 9, 0, 1, 2, 3, 0, 4, 0, 1, 5, 0, 1, 2, 6, 0, 1, 2, 3, 0, 10, 0, 1, 2, 3, 0, 4, 0, 1, 5, 0, 1, 2, 6, 0, 1, 2, 3, 0, 7, 0, 1, 2, 3, 0, 4, 0, 1, 11, 0, 1, 2, 3, 0, 4, 0, 1, 5, 0, 1, 2, 6, 0, 1, 2, 3 (list; graph; listen)

	OFFSET	`1,3`
	COMMENT	`This sequence has the same relationship to A000930 (the middle sequence) as A035614 has to the Fibonacci numbers. Consequently, just as A035614 is the number of initial consecutive zeros in the Fibonacci coding of n, a(n) is the number of initial consecutive zeros in the analogous coding of n that uses the middle sequence as its base.`
	FORMULA	`The segment between the first M and the first M+1 is given by the segment before the first M-2.`
	CROSSREFS	`Cf. A035614, A136189` `Sequence in context: A161628 A122059 A164917 this_sequence A014197 A021438 A025638` `Adjacent sequences: A166235 A166236 A166237 this_sequence A166239 A166240 A166241`
	KEYWORD	`easy,nonn`
	AUTHOR	`Ryan Hendrickson (ryan.hendrickson(AT)alum.mit.edu), Oct 09 2009`

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Last modified November 23 17:09 EST 2009. Contains 167438 sequences.

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