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 A110565 #5 Jan 26 2014 15:37:05 %S A110565 1,3,4,14,21,53,69,237,321,867,1044,3638,5441,13667,17684,60854,81921, %T A110565 221187,266244,931854,1397781,3495477,4542789,15555437,21053441 %N A110565 Results from a change in the rules leading to sequence A097357. %C A110565 Let b_n(i) be defined as for sequence A097357. Then A097357(n) = sum(i=0...infty)b_n(i) = sum(i=1...n)b_n(i). We have: Stage 1: (1,0,0,0,0,0,0,0,0,0,0,0,0) = b_1 (disregarding initial 0); Stage 2: (1,1,0,0,0,0,0,0,0,0,0,0,0,) = b_2 (disregarding initial 0); Stage 3: (0,0,1,0,0,0,0,0,0,0,0,0,0,) = b_3 (disregarding initial 0); Stage 4: (0,1,1,1,0,0,0,0,0,0,0,0,0,) = b_4 (disregarding initial 0); Stage 5: (1,0,1,0,1,0,0,0,0,0,0,0,0,) = b_5 (disregarding initial 0); Stage 6: (1,0,1,0,1,1,0,0,0,0,0,0,0,) Stage 7: (1,0,1,0,0,0,1,0,0,0,0,0,0,) Stage 8: (1,0,1,1,0,1,1,1,0,0,0,0,0,) a(n) is defined as the number which results from interpreting the sequence b_n as a binary string read backwards from the first nonzero term. %e A110565 a(6) = 53 since b_6 = (1,0,1,0,1,1,0,0,0,0,0,0,0) and 110101 written in base 10 is 53. %Y A110565 Cf. A097357. %K A110565 nonn %O A110565 1,2 %A A110565 _Creighton Dement_, Sep 12 2005