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 A160424 #15 Feb 24 2021 02:48:18 %S A160424 0,1,4,11,22,37,60,95,138,185,240,307,386,481,604,759,930,1105,1288, %T A160424 1483,1690,1913,2164,2447,2750,3069,3416,3799,4222,4705,5276,5927, %U A160424 6610,7297,7992,8699,9418,10153,10916,11711,12526,13357,14216,15111,16046,17041,18124 %N A160424 Partial sums of A139250. %H A160424 N. J. A. Sloane, <a href="/A160424/b160424.txt">Table of n, a(n) for n = 0..65535</a> %H A160424 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 A160424 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 A160424 G.f.: (x/((1-x)^2*(1+2*x))) * (1+2*x*prod(k>=0, 1+x^(2^k-1)+2*x^(2^k))). - _Vincenzo Librandi_, Aug 22 2014 %t A160424 CoefficientList[Series[(x/((1 - x)^2 (1 + 2 x))) (1 + 2 x Product[1 + x^(2^k-1) + 2 x^(2^k), {k, 0, 20}]), {x, 0, 50}], x] (* _Vincenzo Librandi_, Aug 22 2014 *) %Y A160424 Cf. A139250, A139251. %K A160424 nonn %O A160424 0,3 %A A160424 _Omar E. Pol_, May 23 2009 %E A160424 More terms from _N. J. A. Sloane_, May 17 2010