David Applegate, Omar E. Pol and N. J. A. Sloane, <a href="http://neilsloane.com/docA000695/tootha000695_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.]

David Applegate, Omar E. Pol and N. J. A. Sloane, <a href="http://neilsloane.com/doc/tooth.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.]

N. J. A. Sloane, <a href="http://neilsloane.com/docwiki/toothlist.htmlCatalog_of_Toothpick_and_CA_Sequences_in_OEIS">Catalog of Toothpick and Cellular Automata Sequences in the OEIS</a>

David Applegate, Omar E. Pol and N. J. A. Sloane, <a href="http://www.research.attneilsloane.com/~njas/doc/tooth.pdf">The Toothpick Sequence and Other Sequences from Cellular Automata</a>

N. J. A. Sloane, <a href="http://www.research.attneilsloane.com/~njas/doc/toothlist.html">Catalog of Toothpick and Cellular Automata Sequences in the OEIS</a>

_Omar E. Pol (info(AT)polprimos.com), _, Dec 16 2008, Dec 21 2008

Edited by _N. J. A. Sloane (njas(AT)research.att.com), _, Jun 07 2009, Jul 18 2009

Subsequence Rows of toothpick numbers A152980, but with infinite members when written as a triangle converge to this sequence.

4, 7, 9, 10, 15, 22, 21, 14, 15, 23, 28, 35, 52, 64, 49, 22, 15, 23, 28, 35, 52, 65, 56, 43, 53, 74, 91, 122, 168, 176, 113, 38, 15, 23, 28, 35, 52, 65, 56, 43, 53, 74, 91, 122, 168, 177, 120, 59, 53, 74, 91, 122, 169, 186, 155, 139, 180, 239, 304, 412, 512, 464, 257, 70, 15

1,0,1

David Applegate, Omar E. Pol and N. J. A. Sloane, <a href="http://www.research.att.com/~njas/doc/tooth.pdf">The Toothpick Sequence and Other Sequences from Cellular Automata</a>

N. J. A. Sloane, <a href="http://www.research.att.com/~njas/doc/toothlist.html">Catalog of Toothpick and Cellular Automata Sequences in the OEIS</a>

nonn,more,new

nonn

Edited by N. J. A. Sloane (njas(AT)research.att.com), Jun 07 2009, Jul 18 2009

Subsequence of toothpick numbers A152980, but with infinite members.

4, 7, 9, 10, 15, 22, 21, 14, 15, 23, 28, 35, 52, 64, 49, 22, 15, 23, 28, 35, 52, 65, 56, 43, 53, 74, 91, 122, 168

1,1

Cf. A139250, A139251, A152968, A152978, A152980, A153006.

nonn,more,new

Omar E. Pol (info(AT)polprimos.com), Dec 16 2008, Dec 21 2008

approved