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A035612 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.

Adjacent sequences: A035609 A035610 A035611 this_sequence A035613 A035614 A035615

Sequence in context: A055445 A135560 A138967 this_sequence A089555 A098554 A109201

KEYWORD

nonn,nice,easy

AUTHOR

J. H. Conway, N. J. A. Sloane (njas(AT)research.att.com).

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Last modified July 4 09:27 EDT 2009. Contains 160562 sequences.


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