A160418 a(n) = A160407(n+2)/2.

1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 3, 5, 4, 1, 1, 2, 2, 2, 3, 5, 4, 2, 3, 5, 5, 6, 10, 13, 8, 1, 1, 2, 2, 2, 3, 5, 4, 2, 3, 5, 5, 6, 10, 13, 8, 2, 3, 5, 5, 6, 10, 13, 9, 6, 10, 14, 15, 21, 32, 33, 16, 1, 1, 2, 2, 2, 3, 5, 4, 2, 3, 5, 5, 6, 10, 13, 8, 2, 3, 5, 5

Offset

1,5

Comments

Row lengths are the terms of A000079 multiplied by 2. Right border gives A000079. - Omar E. Pol, Mar 19 2020

Links

Table of n, a(n) for n=1..82.

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 19 2020: (Start)
Triangle begins:
1,1;
1,1,2,2;
1,1,2,2,2,3,5,4;
1,1,2,2,2,3,5,4,2,3,5,5,6,10,13,8;
1,1,2,2,2,3,5,4,2,3,5,5,6,10,13,8,2,3,5,5,6,10,13,9,6,10,14,15,21,32,33,16;
... (end)

Crossrefs

Cf. A139250, A139251, A160160, A160161, A160406, A160407, A160408, A160409.

Sequence in context: A349366 A151702 A151552 * A168115 A337530 A269982

Adjacent sequences: A160415 A160416 A160417 * A160419 A160420 A160421

Keyword

nonn,tabf

Author

Omar E. Pol, May 23 2009

Extensions

More terms from Jinyuan Wang, Mar 14 2020

Status

approved