OFFSET
0,6
COMMENTS
The main entry for this sequence is the toothpick sequence A139250.
LINKS
Jinyuan Wang, Rows n = 0..14 of triangle, flattened
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
Observation: It appears that a(2^i) = 1, i > 0 and a(2^i-1) = 2^(i-1) - 1, i > 0.
EXAMPLE
If written as a triangle:
0;
0;
1,1;
1,3,5,3;
1,3,5,5,7,13,15,7;
1,3,5,5,7,13,15,9,7,13,17,19,29,43,39,15;
...
Rows converge to A162779.
CROSSREFS
KEYWORD
nonn,tabf
AUTHOR
Omar E. Pol, Jul 23 2009
EXTENSIONS
More terms from Jinyuan Wang, Mar 15 2020
STATUS
approved