A175099 Number of closed rectangles added at the n-th stage of the leftist toothpicks A151566.
0, 0, 0, 0, 1, 0, 0, 2, 3, 0, 0, 2, 2, 0, 0, 4, 7, 0, 0, 2, 2, 0, 0, 4, 6, 0, 0, 4, 4, 0, 0, 8, 15, 0, 0, 2, 2, 0, 0, 4, 6, 0, 0, 4, 4, 0, 0, 8, 14, 0, 0, 4, 4, 0, 0, 8, 12, 0, 0, 8, 8, 0, 0, 16, 31, 0, 0, 2, 2, 0, 0, 4, 6, 0, 0, 4, 4, 0, 0, 8, 14, 0, 0, 4, 4, 0, 0, 8, 12, 0, 0, 8, 8, 0, 0, 16, 30, 0, 0, 4, 4, 0
Offset: 0
Keywords
Links
- David Applegate, Omar E. Pol and N. J. A. Sloane, The Toothpick Sequence and Other Sequences from Cellular Automata, Congressus Numerantium, Vol. 206 (2010), 157-191. [There is a typo in Theorem 6: (13) should read u(n) = 4.3^(wt(n-1)-1) for n >= 2.]
- N. J. A. Sloane, Catalog of Toothpick and Cellular Automata Sequences in the OEIS
Formula
For a recurrence see A160018. - N. J. A. Sloane, Feb 07 2010