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Net increase in number of ON toothpicks at generation n in A151885.
4

%I #12 Feb 24 2021 02:48:18

%S 0,1,2,2,6,-6,10,2,22,-34,10,10,30,-38,34,10,78,-134,10,10,30,-30,50,

%T 10,110,-178,34,34,102,-126,122,34,278,-490,10,10,30,-30,50,10,110,

%U -170,50,50,150,-190,170,50,390,-678,34,34

%N Net increase in number of ON toothpicks at generation n in A151885.

%H Nathaniel Johnston, <a href="/A151888/b151888.txt">Table of n, a(n) for n = 0..926</a>

%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 N. J. A. Sloane, <a href="/A151885/a151885.pdf">Illustration of first 8 generations</a>

%F a(n) = A151886(n)+A151887(n).

%Y Cf. A151885-A151888, A139250, A139251, A147562, A079314.

%K sign

%O 0,3

%A _N. J. A. Sloane_, Jul 23 2009

%E Terms after a(8) from _Nathaniel Johnston_, Apr 02 2011