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a(n) = A139251(n) - A105321(n).
1

%I #9 Feb 24 2021 02:48:19

%S -1,-2,-2,-2,-2,-2,0,0,-2,-2,0,0,0,4,12,8,-2,-2,0,0,0,4,12,8,0,4,12,

%T 12,16,36,56,32,-2,-2,0,0,0,4,12,8,0,4,12,12,16,36,56,32,0,4,12,12,16,

%U 36,56,36,16,36,60,64,92,160,192,96,-2,-2,0,0,0,4,12,8,0,4,12

%N a(n) = A139251(n) - A105321(n).

%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>

%Y Cf. A105321, A139250, A139251, A173522.

%K sign

%O 0,2

%A _Omar E. Pol_, May 29 2010

%E More terms from _Nathaniel Johnston_, Nov 15 2010