|
%I #14 Feb 24 2021 02:48:18
%S 1,4,4,12,4,12,16,32,4,12,16,32,16,36,60,80,4,12,16,32,16,36,60,80,16,
%T 36,60,84,60,112,208,192,4,12,16,32,16,36,60,80,16,36,60,84,60,112,
%U 208,192,16,36,60,84,60,112,208,196,60,112,208,224,212,364,672,448,4,12,16,32,16
%N Number of toothpicks added to the toothpick structure A139250 at the n-th odd round.
%C Bisection of A139251.
%C Note that these toothpicks are parallel to the initial toothpick in the structure.
%C First differences of A162795. - _Omar E. Pol_, Feb 23 2015
%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>
%H <a href="/index/Ce#cell">Index entries for sequences related to cellular automata</a>
%e From _Omar E. Pol_, Feb 23 2015: (Start)
%e Written as an irregular triangle in which the row lengths are the terms of A011782, the sequence begins:
%e 1;
%e 4;
%e 4,12;
%e 4,12,16,32;
%e 4,12,16,32,16,36,60,80;
%e 4,12,16,32,16,36,60,80,16,36,60,84,60,112,208,192;
%e 4,12,16,32,16,36,60,80,16,36,60,84,60,112,208,192,16,36,60,84,60,112,208,196,60,112,208,224,212,364,672,448;
%e ...
%e It appears that right border gives the positive terms of A001787.
%e It appears that row sums give A000302.
%e (End)
%Y Cf. A000302, A001787, A139250, A139251, A147582, A159791, A159792, A162794, A162795, A162796, A162797, A169708.
%K nonn,tabf
%O 1,2
%A _Omar E. Pol_, Jul 14 2009
%E More terms from _N. J. A. Sloane_, Dec 28 2009
|
