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.
A179016(1) = 1 is the first case where the infinite trunk has continued to the larger of two branches of the predecessor node. (In this case the predecessor node is A179016(0)=0, for which hold both 0+A000120(0)=0+0=0 (the smaller branch, leading exceptionally back to the same node) and 0+A000120(1)=0+1=1 (the larger branch). Thus the first term of this sequence is 1. A179016(2) = 3 is the second case where the infinite trunk has continued to the larger of two branches of the predecessor node (In this case the predecessor node is A179016(1)=1, for which hold both 1+A000120(2)=1+1=2 (the smaller branch) and 1+A000120(3)=1+2=3 (the larger branch). Thus the second term of this sequence is 2.
A179016(2) = 3 is the first case where the next term A179016(3) = 4 is the smaller of two branches from 3 (the larger is 5, as 5 = 3+A000120(5)), thus the first term of this sequence is 2. The next case occurs at A179016(4) = 7, as the next term here is again 8, the smaller of two branches from 7 (the larger being 9, as 9 = 7+A000120(9)), thus the second term of this sequence is 4.
Comments