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

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, 95, 99, 113, 121, 127, 147, 181, 197, 199, 199, 205, 209, 211, 215, 229, 237, 239, 243, 257, 265, 271, 291, 325, 341, 343

Offset: 0

Author

Nathaniel Johnston, Mar 28 2011

Keywords

• nonn

Comments

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

Links

• Nathaniel Johnston, Table of n, a(n) for n = 0..181
• David Applegate, Omar E. Pol and N. J. A. Sloane, The Toothpick Sequence and Other Sequences from Cellular Automata, 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.]
• Nathaniel Johnston, The Q-Toothpick Cellular Automaton
• N. J. A. Sloane, Catalog of Toothpick and Cellular Automata Sequences in the OEIS

Crossrefs

Cf. A187210, A188345, A188346.