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%I #32 Feb 24 2021 02:48:19
%S 22,40,54,56,70,120,134,88,70,120,150,168,246,360,326,152,70,120,150,
%T 168,246,360,342,232,246,376,454,568,838,1032,774,280,70,120,150,168,
%U 246,360,342,232,246,376,454,568,838,1032
%N 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.
%C Limiting behavior of the rows of the triangle in A187211.
%H David Applegate, Omar E. Pol and N. J. A. Sloane, <a href="/A000695/a000695_1.pdf">The Toothpick Sequence and Other Sequences from Cellular Automata</a>, 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.]
%H Nathaniel Johnston, <a href="http://www.nathanieljohnston.com/2011/03/the-q-toothpick-cellular-automaton/">The Q-Toothpick Cellular Automaton</a>
%H N. J. A. Sloane, <a href="/wiki/Catalog_of_Toothpick_and_CA_Sequences_in_OEIS">Catalog of Toothpick and Cellular Automata Sequences in the OEIS</a>
%H <a href="/index/To#toothpick">Index entries for sequences related to toothpick sequences</a>
%e The triangle from A187211 begins:
%e 22, 20
%e 22, 40, 54, 40
%e 22, 40, 54, 56, 70, 120, 134, 72
%e 22, 40, 54, 56, 70, 120, 134, 88, 70, 120, 150, 168, 246, 360, 326, 136
%e ...
%e Thus this sequence is 22, 40, 54, 56, 70, 120, 134, 88, 70, 120, 150, 168, 246, 360, 326...
%e The final entry of the n-th row (for n >= 2) is 16 + 8(2^n - 1).
%Y Cf. A147646, A187210, A187211.
%K nonn
%O 1,1
%A _Nathaniel Johnston_, Mar 26 2011
%E a(35) corrected by _Nathaniel Johnston_ at the suggestion of _Omar E. Pol_, Mar 28 2011
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