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%I #6 Feb 24 2021 02:48:18
%S 0,1,4,0,12,-8,20,-8,44,-40,52,-40,76,-64,100,-64,172,-168,180,-168,
%T 204,-192,228,-192,300,-288,324,-288,396,-360,468,-360,684,-680,692,
%U -680,716,-704,740,-704,812,-800,836,-800,908,-872,980,-872,1196
%N Net gain in number of ON cells at stage n of the cellular automaton described in A079317.
%C Start with cell (0,0) ON; at each succeeding stage the cells that share exactly one edge with an active cell change their state.
%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>
%F If n is even, a(n) = A079315(n) = A151914(n/2); if n is odd, a(n) = A147582((n+1)/2) - A151914((n-1)/2).
%F First differences of A079317.
%Y Cf. A079317, A079315, A139250, A151914, A147582.
%K sign
%O 0,3
%A _N. J. A. Sloane_, Aug 05 2009, Aug 06 2009
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