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%I #17 Feb 24 2021 02:48:19
%S 0,0,0,0,0,0,0,6,-6,0,0,6,-6,6,0,30,-24,0,0,6,-6,6,0,30,-24,6,0,30,
%T -24,24,12,126,-78,-12,0,6,-6,6,0,30,-24,6,0,30,-24,24,12,126,-78,-6,
%U 0,30,-24,24,6,114,-90,6,12,126,-54,102,72,450,-228,-60,0,6,-6,6,0
%N a(n) = A048883(n-1) - A160121(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 . -6, 0,0,6,-6,6,0,30;
%e . -24, 0,0,6,-6,6,0,30,-24,6,0,30,-24,24,12,126;
%e . -78,-12,0,6,-6,6,0,30,-24,6,0,30,-24,24,12,126,-78,-6,0,30,-24,24,6,114,-90,6,12,126,-54,102,72,450;
%e . -228,-60,0,6,-6,6,0...
%e (End)
%Y Cf. A011782, A048883, A139250, A139251, A160120, A160121, A151710, A173066, A173067, A173068, A173452, A173453.
%K sign,tabf
%O 1,8
%A _Omar E. Pol_, May 29 2010
%E More terms from _Nathaniel Johnston_, Nov 15 2010
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