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

1,1

Comments

Limiting behavior of the rows of the triangle in A187211.

Links

Table of n, a(n) for n=1..46.

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

Example

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).

Crossrefs

Cf. A147646, A187210, A187211.

Sequence in context: A043976 A131196 A075217 * A026061 A138040 A154087

Adjacent sequences: A188153 A188154 A188155 * A188157 A188158 A188159

Keyword

nonn

Author

Nathaniel Johnston, Mar 26 2011

Extensions

a(35) corrected by Nathaniel Johnston at the suggestion of Omar E. Pol, Mar 28 2011

Status

approved