A188345 - OEIS

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

%S 0,0,0,0,0,3,5,5,11,21,29,29,35,43,49,53,75,105,121,121,127,135,141,

%T 145,167,195,209,213,231,251,265,293,367,445,477,477,483,491,497,501,

%U 523,551,565,569,587,607,621,649,723,799

%N Number of diamonds 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="/A188345/b188345.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, A188344, A188346.

%K nonn

%O 0,6

%A _Nathaniel Johnston_, Mar 28 2011