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A170884 In the toothpick structure of A160160, the number of nodes occupied after n steps, assuming that the toothpicks have length 2. 4

%I #15 Feb 24 2021 02:48:19

%S 0,3,7,15,27,39,51,67,99,155,223,263,283,299,331,387,467,555,659,811,

%T 1067,1443,1831,1995,2059,2083,2123,2179,2259,2347,2451,2603,2859,

%U 3235,3659,3955,4211,4483,4899,5451

%N In the toothpick structure of A160160, the number of nodes occupied after n steps, assuming that the toothpicks have length 2.

%C See A170885 for the first differences.

%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. A139250, A170885.

%K nonn

%O 0,2

%A _David Applegate_, _Omar E. Pol_ and _N. J. A. Sloane_, Jan 09 2010

%E a(7)-a(39) from _Nathaniel Johnston_, Nov 13 2010

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Last modified April 23 23:26 EDT 2024. Contains 371917 sequences. (Running on oeis4.)