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%I #12 Feb 24 2021 02:48:19
%S 0,1,3,3,7,3,7,7,19,3,7,7,19,7,19,19,55,3,7,7,19,7,19,19,55,7,19,19,
%T 55,19,55,55,163,3,7,7,19,7,19,19,55,7,19,19,55,19,55,55,163,7,19,19,
%U 55,19,55,55,163,19,55,55,163,55,163,163,487,3
%N First differences of A183060.
%C The sequence gives the number of cells turned "ON" at the n-th stage in the structure of A183060.
%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>
%F a(n) = 1 + A147582(n)/2.
%F a(n) = 1 + 2*A147610(n).
%e If written as a triangle begins:
%e 0,
%e 1,
%e 3,
%e 3,7,
%e 3,7,7,19,
%e 3,7,7,19,7,19,19,55,
%e 3,7,7,19,7,19,19,55,7,19,19,55,19,55,55,163,
%e It appears that row sums give A007582.
%e It appears that last terms of rows give A100702.
%Y Cf. A007582, A100702, A139250, A139251, A147582, A147610, A183060.
%K nonn
%O 0,3
%A _Omar E. Pol_, Feb 20 2011
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