

A188156


If A187211 is written, starting at its fifth term, as a triangle with rows of lengths 2, 4, 8, 16, ..., the nth row begins with the first 2^n1 terms of the present sequence.


1



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
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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), 157191. [There is a typo in Theorem 6: (13) should read u(n) = 4.3^(wt(n1)1) for n >= 2.]
N. J. A. Sloane, Catalog of Toothpick and Cellular Automata Sequences in the OEIS
Nathaniel Johnston, The QToothpick Cellular Automaton
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 nth 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



