This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A183061 #12 Feb 24 2021 02:48:19 %S A183061 0,1,3,3,7,3,7,7,19,3,7,7,19,7,19,19,55,3,7,7,19,7,19,19,55,7,19,19, %T A183061 55,19,55,55,163,3,7,7,19,7,19,19,55,7,19,19,55,19,55,55,163,7,19,19, %U A183061 55,19,55,55,163,19,55,55,163,55,163,163,487,3 %N A183061 First differences of A183060. %C A183061 The sequence gives the number of cells turned "ON" at the n-th stage in the structure of A183060. %H A183061 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 A183061 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 A183061 <a href="/index/Ce#cell">Index entries for sequences related to cellular automata</a> %F A183061 a(n) = 1 + A147582(n)/2. %F A183061 a(n) = 1 + 2*A147610(n). %e A183061 If written as a triangle begins: %e A183061 0, %e A183061 1, %e A183061 3, %e A183061 3,7, %e A183061 3,7,7,19, %e A183061 3,7,7,19,7,19,19,55, %e A183061 3,7,7,19,7,19,19,55,7,19,19,55,19,55,55,163, %e A183061 It appears that row sums give A007582. %e A183061 It appears that last terms of rows give A100702. %Y A183061 Cf. A007582, A100702, A139250, A139251, A147582, A147610, A183060. %K A183061 nonn %O A183061 0,3 %A A183061 _Omar E. Pol_, Feb 20 2011