A188156 If A187211 is written, starting at its fifth term, as a triangle with rows of lengths 2, 4, 8, 16, ..., the n-th row begins with the first 2^n-1 terms of the present sequence.
22, 40, 54, 56, 70, 120, 134, 88, 70, 120, 150, 168, 246, 360, 326, 152, 70, 120, 150, 168, 246, 360, 342, 232, 246, 376, 454, 568, 838, 1032, 774, 280, 70, 120, 150, 168, 246, 360, 342, 232, 246, 376, 454, 568, 838, 1032
Offset: 1
Keywords
Examples
The triangle from A187211 begins: 22, 20 22, 40, 54, 40 22, 40, 54, 56, 70, 120, 134, 72 22, 40, 54, 56, 70, 120, 134, 88, 70, 120, 150, 168, 246, 360, 326, 136 ... Thus this sequence is 22, 40, 54, 56, 70, 120, 134, 88, 70, 120, 150, 168, 246, 360, 326... The final entry of the n-th row (for n >= 2) is 16 + 8(2^n - 1).
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.]
- Nathaniel Johnston, The Q-Toothpick Cellular Automaton
- N. J. A. Sloane, Catalog of Toothpick and Cellular Automata Sequences in the OEIS
- Index entries for sequences related to toothpick sequences
Extensions
a(35) corrected by Nathaniel Johnston at the suggestion of Omar E. Pol, Mar 28 2011
Comments