LINKS
David Applegate, Omar E. Pol and N. J. A. Sloane, <a href="http://neilsloane.com/docA000695/tootha000695_1.pdf
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Revision History for A153010
(Bold, blue-underlined text is an addition; faded, red-underlined text is aShowing entries 1-10 | older changes
STATUS
proposed
approved
STATUS
editing
proposed
FORMULA
Conjectures from Colin Barker, Nov 24 2019: (Start)
G.f.: x*(1 - x - x^2 + 2*x^3) / ((1 - x)*(1 - 2*x)).
a(n) = 3*a(n-1) - 2*a(n-2) for n>4.
a(n) = 2^(n-1) - 1 for n>2.
(End)
STATUS
proposed
editing
STATUS
editing
proposed
COMMENTS
It appears that this sequence is also the union of 2 and A000225. - _Omar E. Pol, _, Mar 03 2011
EXTENSIONS
More terms a(19)-a(33) from _Omar E. Pol, _, Mar 03 2011
STATUS
approved
editing
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.]
LINKS
N. J. A. Sloane, <a href="http://neilsloane.com/docwiki/toothlist.htmlCatalog
LINKS
David Applegate, Omar E. Pol and N. J. A. Sloane, <a href="http://www.research.attneilsloane.com/~njas/doc/tooth.pdf
N. J. A. Sloane, <a href="http://www.research.attneilsloane.com/~njas/doc/toothlist
EXTENSIONS
More terms a(7)-a(18) from _Sean A. Irvine (sairvin(AT)xtra.co.nz), _, Feb 22 2011