login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A188346 Number of hearts present in the n-th generation of the Q-toothpick sequence A187210. 5

%I #20 Feb 24 2021 02:48:19

%S 0,0,0,0,0,2,4,4,4,8,12,12,12,16,20,20,28,44,52,52,52,56,60,60,68,84,

%T 92,92,96,108,116,124,156,196,212,212,212,216,220,220,228,244,252,252,

%U 256,268,276,284,316,356,372,372,376,388,396

%N Number of hearts 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="/A188346/b188346.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>

%F It appears that a(n) = A211008(n-2,2), n >= 3. (Checked by hand up n = 130 in the toothpick structure of A139250). - _Omar E. Pol_, Sep 25 2012

%Y Cf. A187210, A188344, A188345.

%K nonn

%O 0,6

%A _Nathaniel Johnston_, Mar 28 2011

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 18 22:18 EDT 2024. Contains 371782 sequences. (Running on oeis4.)