%I #6 Feb 24 2021 02:48:18
%S 1,3,8,17,34,64,114,195,325,529,840,1303,1977,2940
%N Row sums of triangle A163311
%C Triangle A163311 by diagonals = the infinite set of Toothpick sequences.
%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 a(n) = sum of n-th row terms, triangle A163311
%e a(4) = 17 = (1, + 4 + 7, + 5).
%Y A163311
%K nonn
%O 1,2
%A _Gary W. Adamson_, Jul 24 2009
|