A173452 - OEIS

%I #10 Feb 24 2021 02:48:19

%S 0,0,0,0,0,0,0,6,0,0,0,6,-6,6,0,30,0,0,0,6,-6,6,0,30,-12,6,0,30

%N a(n) = A048883(n-1) - A151710(n).

%C It appears that the absolute value of a(n) is a multiple of 6, see A008588. - _Omar E. Pol_, Dec 06 2013

%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/To#toothpick">Index entries for sequences related to toothpick sequences</a>

%e From _Omar E. Pol_, Dec 06 2013: (Start)

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

%e 0;

%e 0;

%e 0, 0;

%e 0, 0, 0, 6;

%e 0, 0, 0, 6, -6, 6, 0, 30;

%e 0, 0, 0, 6, -6, 6, 0, 30, -12, 6, 0, 30...

%e (End)

%Y Cf. A048883, A139250, A139251, A160121, A151710, A173066, A173067, A173068, A173451, A173453.

%K more,sign,tabf

%O 1,8

%A _Omar E. Pol_, May 29 2010