A151896 Number of new cells turned ON at generation n in cellular automaton described in A151895.

0, 1, 4, 4, 4, 12, 4, 12, 12, 12, 20, 12, 20, 28, 4, 12, 12, 12, 28, 20, 28, 36, 36, 52, 44, 52, 52, 12, 28, 28, 28, 44, 44, 44, 76, 68, 84, 44, 52, 60, 52, 60, 52, 28, 60, 60, 68, 100, 44, 68, 84, 60, 92, 84, 76, 116, 84, 100, 92, 60, 60, 76, 92, 132, 100, 84

Offset: 0

Author

David Applegate and N. J. A. Sloane, Jul 30 2009

Keywords

• nonn

Comments

First differences of A151895. See that entry for much more information.

Links

• David Applegate, Table of n, a(n) for n = 0..250
• David Applegate, The movie version
• David Applegate, Illustration of first 10 generations
• David Applegate, Illustration of first 20 generations
• David Applegate, Illustration of first 32 generations
• David Applegate, Illustration of first 64 generations
• 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.]
• N. J. A. Sloane, Illustration of initial terms (concentrating on a 90-degree sector)
• N. J. A. Sloane, Catalog of Toothpick and Cellular Automata Sequences in the OEIS

Crossrefs

Cf. A151895, A139250.

Formula

We do not know of a recurrence or generating function.

Extensions

Revised by David Applegate and N. J. A. Sloane, Jan 21 2016