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a(n) = number of the row (counting from initial row 0) of the array R in A087468 that contains n.
1

%I #10 May 23 2015 18:46:07

%S 0,1,0,2,1,3,0,2,4,1,3,0,5,2,4,1,6,3,0,5,2,7,4,1,6,3,0,8,5,2,7,4,1,9,

%T 6,3,0,8,5,2,10,7,4,1,9,6,3,0,11,8,5,2,10,7,4,1,12,9,6,3,0,11,8,5,2,

%U 13,10,7,4,1,12,9,6,3,0,14,11,8,5,2,13,10,7,4,1,15,12,9,6,3,0,14,11,8,5,2,16

%N a(n) = number of the row (counting from initial row 0) of the array R in A087468 that contains n.

%C A fractal sequence.

%H Clark Kimberling and John E. Brown, <a href="https://cs.uwaterloo.ca/journals/JIS/VOL7/Kimberling/kimber67.html">Partial Complements and Transposable Dispersions</a>, J. Integer Seqs., Vol. 7, 2004.

%e Northwest corner of R:

%e .1 3 7 12 19

%e .2 5 10 16 24

%e .4 8 14 21 30

%e .6 11 18 26 36

%e .9 15 23 32 43

%e a(11)=3 because 11 is in row 3.

%Y Cf. A087468, A087470.

%K nonn

%O 1,4

%A _Clark Kimberling_, Sep 09 2003