%I A035612
%S A035612 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,
%T A035612 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,
%U A035612 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
%N A035612 Horizontal para-Fibonacci sequence: says which column of Wythoff array 
               (starting column count at 1) contains n.
%H A035612 N. J. A. Sloane, <a href="http://www.research.att.com/~njas/doc/sg.txt">
               My favorite integer sequences</a>, in Sequences and their Applications 
               (Proceedings of SETA '98).
%H A035612 N. J. A. Sloane, <a href="classic.html#WYTH">Classic Sequences</a>
%F A035612 The segment between the first M and the first M+1 is given by the segment 
               before the first M-1.
%F A035612 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.
%e A035612 After the first 6 we see "1 2 3 1 4 1 2" then 7.
%Y A035612 Cf. A019586, A035513, A035614.
%Y A035612 Sequence in context: A055445 A135560 A138967 this_sequence A089555 A098554 
               A109201
%Y A035612 Adjacent sequences: A035609 A035610 A035611 this_sequence A035613 A035614 
               A035615
%K A035612 nonn,nice,easy
%O A035612 1,2
%A A035612 J. H. Conway, N. J. A. Sloane (njas(AT)research.att.com).