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Number of lattice points covered at the n-th stage of the leftist toothpicks A151566
4

%I #6 Feb 24 2021 02:48:19

%S 0,3,5,9,12,16,20,26,31,35,39,45,51,59,67,79,88,92,96,102,108,116,124,

%T 136,146,154,162,174,186,202,218,242,259,263,267,273,279,287,295,307,

%U 317,325,333,345,357,373,389,413,431,439,447,459,471,487,503,527,547

%N Number of lattice points covered at the n-th stage of the leftist toothpicks A151566

%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. A147614.

%K nonn

%O 0,2

%A _R. J. Mathar_, Feb 04 2010