A162777 a(n) = A153003(n) - A153006(n).

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, 1, 3, 5, 5, 7, 13, 15, 9, 7, 13, 17, 19, 29, 43, 39, 17, 7, 13, 17, 19, 29, 43, 41, 27, 29, 45, 55, 69, 103, 127, 95, 31

Offset: 0

Author

Omar E. Pol, Jul 23 2009

Keywords

• nonn
• tabf

Comments

The main entry for this sequence is the toothpick sequence A139250.

Examples

			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.
		

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

Crossrefs

Cf. A139250, A152980, A153003, A153004, A153006, A162779.

Formula

Observation: It appears that a(2^i) = 1, i > 0 and a(2^i-1) = 2^(i-1) - 1, i > 0.

Extensions

More terms from Jinyuan Wang, Mar 15 2020