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A188344 Number of circles present in the n-th generation of the Q-toothpick sequence A187210. 4

%I #12 Feb 24 2021 02:48:19

%S 0,0,0,1,1,3,3,3,9,13,15,15,21,25,27,31,45,53,55,55,61,65,67,71,85,93,

%T 95,99,113,121,127,147,181,197,199,199,205,209,211,215,229,237,239,

%U 243,257,265,271,291,325,341,343

%N Number of circles present in the n-th generation of the Q-toothpick sequence A187210.

%C See A187210 for a description of the different shapes that appear in the Q-toothpick sequence.

%H Nathaniel Johnston, <a href="/A188344/b188344.txt">Table of n, a(n) for n = 0..181</a>

%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>

%Y Cf. A187210, A188345, A188346.

%K nonn

%O 0,6

%A _Nathaniel Johnston_, Mar 28 2011

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Last modified April 24 20:08 EDT 2024. Contains 371963 sequences. (Running on oeis4.)