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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

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Last modified May 9 19:33 EDT 2024. Contains 372354 sequences. (Running on oeis4.)