A183149 Number of toothpicks added at n-th stage to the toothpick structure of A183148.
0, 1, 3, 9, 9, 21, 9, 21, 21, 57, 9, 21, 21, 57, 21, 57, 57, 165, 9, 21, 21, 57, 21, 57, 57, 165, 21, 57, 57, 165, 57, 165, 165, 489, 9, 21, 21, 57, 21, 57, 57, 165, 21, 57, 57, 165, 57, 165, 165, 489, 21, 57, 57, 165, 57, 165
Offset: 0
Keywords
Examples
If written as a triangle begins: 0, 1, 3, 9, 9,21, 9,21,21,57, 9,21,21,57,21,57,57,165, 9,21,21,57,21,57,57,165,21,57,57,165,57,165,165,489,
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
a(n) = 3*A183061(n-1), for n >=2
Comments