id:A035612 - OEIS Search Results

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Horizontal para-Fibonacci sequence: says which column of Wythoff array (starting column count at 1) contains n.

+0
2

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

	OFFSET	`1,2`
	LINKS	`N. J. A. Sloane, My favorite integer sequences, in Sequences and their Applications (Proceedings of SETA '98).` `N. J. A. Sloane, Classic Sequences`
	FORMULA	`The segment between the first M and the first M+1 is given by the segment before the first M-1.` `a(n) = v2(A022340(n)), where v2(n) = A007814(n), the dyadic valuation of n. - Ralf Stephan (ralf(AT)ark.in-berlin.de), Jun 20 2004. In other words, a(n) = A007814(A003714(n)) + 1, which is certainly true - Don Reble, Nov 12 2005.`
	EXAMPLE	`After the first 6 we see "1 2 3 1 4 1 2" then 7.`
	CROSSREFS	`Cf. A019586, A035513, A035614.` `Sequence in context: A055445 A135560 A138967 this_sequence A089555 A098554 A109201` `Adjacent sequences: A035609 A035610 A035611 this_sequence A035613 A035614 A035615`
	KEYWORD	`nonn,nice,easy`
	AUTHOR	`J. H. Conway, N. J. A. Sloane (njas(AT)research.att.com).`

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Last modified November 27 14:50 EST 2009. Contains 167570 sequences.

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