A087466 a(n) = number of the row (counting from initial row 0) of the array R in A087465 that contains n.

0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 3, 0, 2, 1, 3, 0, 2, 4, 1, 3, 0, 2, 4, 1, 3, 5, 0, 2, 4, 1, 3, 5, 0, 2, 4, 6, 1, 3, 5, 0, 2, 4, 6, 1, 3, 5, 7, 0, 2, 4, 6, 1, 3, 5, 7, 0, 2, 4, 6, 8, 1, 3, 5, 7, 0, 2, 4, 6, 8, 1, 3, 5, 7, 9, 0, 2, 4, 6, 8, 1, 3, 5, 7, 9, 0, 2, 4, 6, 8, 10, 1, 3, 5, 7, 9, 0, 2, 4, 6, 8, 10, 1, 3

Offset: 1

Author

Clark Kimberling, Sep 09 2003

Keywords

• nonn

Comments

A sequence that contains itself as a proper subsequence (infinitely many times); that is, a fractal sequence.

Examples

			Northwest corner of R:
1 2 4 6 9
3 5 8 11 15
7 10 14 18 23
12 16 21 26 32
19 24 30 36 43
a(10)=2 because 10 is in row 2.
		

Links

• Clark Kimberling and John E. Brown, Partial Complements and Transposable Dispersions, J. Integer Seqs., Vol. 7, 2004.

Crossrefs

Cf. A087465, A087467.