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 A080120 #10 Sep 20 2022 11:07:20 %S A080120 10,1010,110100,1011100010,101100110010,1111010110011001010000, %T A080120 110110111100010101110000100100,101100101111000100110111000010110010, %U A080120 1111011110010101110010011011000101011000010000 %N A080120 Dyck path encodings of Legendre's candelabras formed for primes in A080114. (I.e., symmetric rooted plane trees constructed from their quadratic residue sets.) %C A080120 For the 2nd, 5th and 8th term of the sequence, the quadratic residue set of the corresponding prime (5,13,37, of the form 4k+1) has been converted from symmetric to complementarily symmetric as 1001->1010, 101100001101->101100110010, 101100101111000100001000111101001101->101100101111000100110111000010110010, for the others (of the form 4k+3), it is the quadratic residue set encoded as in A055094 (with +1 mapped to 1 and -1 to 0). %H A080120 Antti Karttunen, <a href="/A080120/a080120.pdf">Illustration of initial terms</a> %F A080120 a(n) = A063171(A080119(n)). %p A080120 A080120 := n -> convert(A080118(n),binary); %Y A080120 Same sequence in decimal: A080118. Cf. A080114. %K A080120 nonn %O A080120 1,1 %A A080120 _Antti Karttunen_, Feb 11 2003