The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A162779 Rows of A162777 when written as a triangle converge to this sequence. 1

%I #17 Feb 24 2021 02:48:18

%S 1,3,5,5,7,13,15,9,7,13,17,19,29,43,39,17,7,13,17,19,29,43,41,27,29,

%T 45,55,69,103,127,95,33,7,13,17,19,29,43,41,27,29,45,55,69,103,127,97,

%U 43,29,45,55,69,103,129,111,85,105,147,181,243,335,351,223,65,7

%N Rows of A162777 when written as a triangle converge to this sequence.

%C It appears that the right border of triangle gives A083318. - _Omar E. Pol_, Mar 15 2020

%H David Applegate, Omar E. Pol and N. J. A. Sloane, <a href="/A000695/a000695_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.]

%H N. J. A. Sloane, <a href="/wiki/Catalog_of_Toothpick_and_CA_Sequences_in_OEIS">Catalog of Toothpick and Cellular Automata Sequences in the OEIS</a>

%e From _Omar E. Pol_, Mar 15 2020: (Start)

%e Written as an irregular triangle in which row lengths give A011782 the sequence begins:

%e 1;

%e 3;

%e 5, 5;

%e 7, 13, 15, 9;

%e 7, 13, 17, 19, 29, 43, 39, 17;

%e 7, 13, 17, 19, 29, 43, 41, 27, 29, 45, 55, 69, 103, 127, 95, 33;

%e 7, 13, 17, 19, 29, 43, 41, 27, 29, 45, 55, 69, 103, 127, 97, 43, 29, 45, 55, ...

%e (End)

%Y Cf. A083318, A139250, A153003, A153006, A162777.

%K nonn,tabf

%O 0,2

%A _Omar E. Pol_, Jul 23 2009

%E More terms from _Jinyuan Wang_, Mar 15 2020

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified May 13 08:41 EDT 2024. Contains 372498 sequences. (Running on oeis4.)