The On-Line Encyclopedia of Integer Sequences (OEIS)

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A151574

a(0)=1, a(1)=2; a(2^i + j) = a(j) + 2*a(j+1) for 0 <= j < 2^i.
(history; published version)

#11 by N. J. A. Sloane at Wed Feb 24 02:48:18 EST 2021

LINKS

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.]

Discussion

Wed Feb 24

02:48

OEIS Server: https://oeis.org/edit/global/2889

#10 by N. J. A. Sloane at Tue Nov 27 18:35:50 EST 2018

LINKS

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.]

Discussion

Tue Nov 27

18:35

OEIS Server: https://oeis.org/edit/global/2774

#9 by N. J. A. Sloane at Sun Jul 02 08:00:14 EDT 2017

STATUS

proposed

approved

#8 by Jon E. Schoenfield at Thu Jun 29 22:29:55 EDT 2017

STATUS

editing

proposed

#7 by Jon E. Schoenfield at Thu Jun 29 22:29:51 EDT 2017

NAME

a(0)=1, a(1)=2; a(2^i + j) = a(j) + 2*a(j+1) for 0 <= j < 2^i.

STATUS

proposed

editing

#6 by Ivan Neretin at Wed Jun 28 05:35:03 EDT 2017

STATUS

editing

proposed

#5 by Ivan Neretin at Wed Jun 28 05:34:48 EDT 2017

LINKS

Ivan Neretin, <a href="/A151574/b151574.txt">Table of n, a(n) for n = 0..8191</a>

MATHEMATICA

a = {1, 2}; Do[AppendTo[a, a[[j]] + 2 a[[j + 1]]], {i, 6}, {j, 2^i}]; a (* Ivan Neretin, Jun 28 2017 *)

STATUS

approved

editing

#4 by Charles R Greathouse IV at Sat Sep 26 01:17:04 EDT 2015

LINKS

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>

Discussion

Sat Sep 26

01:17

OEIS Server: https://oeis.org/edit/global/2460

#3 by Charles R Greathouse IV at Thu Oct 04 10:29:00 EDT 2012

LINKS

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>

Discussion

Thu Oct 04

10:29

OEIS Server: https://oeis.org/edit/global/1833

#2 by Russ Cox at Fri Mar 30 16:51:03 EDT 2012

AUTHOR

_N. J. A. Sloane (njas(AT)research.att.com), _, May 25 2009

Discussion

Fri Mar 30

16:51

OEIS Server: https://oeis.org/edit/global/110