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

%I #9 May 23 2015 18:45:51

%S 1,2,1,3,2,4,1,3,5,2,4,1,6,3,5,2,7,4,1,6,3,8,5,2,7,4,1,9,6,3,8,5,2,10,

%T 7,4,1,9,6,3,11,8,5,2,10,7,4,1,12,9,6,3,11,8,5,2,13,10,7,4,1,12,9,6,3,

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

%N a(n) = number of the row (counting from initial row 1) 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)=4 because 11 is in row 4.

%Y Cf. A087468, A087469.

%K nonn

%O 1,2

%A _Clark Kimberling_, Sep 09 2003