A162779 Rows of A162777 when written as a triangle converge to this sequence.

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, 33, 7, 13, 17, 19, 29, 43, 41, 27, 29, 45, 55, 69, 103, 127, 97, 43, 29, 45, 55, 69, 103, 129, 111, 85, 105, 147, 181, 243, 335, 351, 223, 65, 7

Offset

0,2

Comments

It appears that the right border of triangle gives A083318. - Omar E. Pol, Mar 15 2020

Links

Table of n, a(n) for n=0..64.

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

Example

From Omar E. Pol, Mar 15 2020: (Start)
Written as an irregular triangle in which row lengths give A011782 the sequence begins:
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, 33;
7, 13, 17, 19, 29, 43, 41, 27, 29, 45, 55, 69, 103, 127, 97, 43, 29, 45, 55, ...
(End)

Crossrefs

Cf. A083318, A139250, A153003, A153006, A162777.

Sequence in context: A077800 A073340 A118409 * A158284 A090941 A090917

Adjacent sequences: A162776 A162777 A162778 * A162780 A162781 A162782

Keyword

nonn,tabf

Author

Omar E. Pol, Jul 23 2009

Extensions

More terms from Jinyuan Wang, Mar 15 2020

Status

approved