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 A262097 #62 Nov 22 2018 20:20:24 %S A262097 0,0,1,0,0,2,1,1,1,0,0,1,0,0,3,2,2,3,1,1,2,1,1,2,1,1,1,0,0,1,0,0,2,1, %T A262097 1,1,0,0,1,0,0,4,3,3,5,2,2,4,2,2,5,3,3,4,1,1,2,1,1,3,2,2,3,1,1,2,1,1, %U A262097 3,2,2,3,1,1,2,1,1,2,1,1,1,0,0 %N A262097 a(n) is the number of arithmetic triples k<m<n (three numbers in arithmetic progression) such that k and m contain no 2's in their ternary representation. %C A262097 This is a recursive sequence that gives the number of times n is rejected from A005836, if n is the largest member of an arithmetic triple whose initial two terms are contained in A005836. %C A262097 This is similar to both A002487, which has a similar recurrence relation and counts hyperbinary representations of n, and A000119, which counts representations of n as a sum of distinct Fibonacci numbers. %C A262097 a(n) is the number of times n occurs in A262096. %C A262097 Indices of maxima between a(n)=0 and a(k)=0 (choose the smallest k) appear to converge to (1/12)*(k-n) and (1/4)*(k-n). - _Max Barrentine_, May 24 2016 %H A262097 Max Barrentine, <a href="/A262097/b262097.txt">Table of n, a(n) for n = 0..19683</a> %F A262097 a(0)=0, a(n) = a(3n) = a(3n+1); if a(n)=0, a(3n+2) = a(n+1) + 1, otherwise a(3n+2) = a(n+1) + a(n). - _Max Barrentine_, May 24 2016 %Y A262097 Cf. A000119, A002487, A005836, A262096, A262256, A273513, A273514. %K A262097 nonn,look,easy,base %O A262097 0,6 %A A262097 _Max Barrentine_, Sep 11 2015 %E A262097 Name improved by _Max Barrentine_, Jun 23 2016