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 A160165 #9 Feb 24 2021 02:48:18 %S A160165 0,0,0,1,3,3,0,2,10,15,17,21,22,12,0,5,23,39,52,66,78,79,77,89,106, %T A160165 112,112,109,87,39,0,10,50,87,121,157,190,212,232,265,303,331,352,370, %U A160165 370,343,325,353,402,440,472,501,511,495,484,502,518,503,469,409,282 %N A160165 a(n) = A000969(n) minus toothpick number A139250(n+1). %H A160165 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 A160165 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 A160165 a(n) = A000969(n) - A139250(n+1). %Y A160165 Cf. A000969, A139250, 153006, A153007, A159790, A160166. %K A160165 nonn %O A160165 0,5 %A A160165 _Omar E. Pol_, May 23 2009 %E A160165 More terms from _Jinyuan Wang_, Mar 14 2020