Dear Math Fun, Take an infinite chessboard, and starting at the top left corner, scan it by upwards anti-diagonals, placing a Queen whenever you reach a square that is not attacked by an existing Queen, The top left portion of the board is Qxxxxx... xxxQxx... xQxxxx... xxxxQx... xxQxxx... xxxxxx... xxxxxx... xxxxxQ... ...... The n-th term of sequence https://oeis.org/A065188 tells which row contains the Queen in column n. (It is easy to show that every column eventually contains a Queen.) If you click the "graph" button in A065188 you will see that the points appear to lie on two roughly straight lines, of slopes phi and 1/phi, phi being the golden ratio! The question is, why? How do these queens know about the golden ratio? Presumably this is related to budding sequences and sunflower seeds. Notes. Let c(n) = A065188(n). A199134 lists n such that c(n)<n (the points on the line of slope 1/phi), and A275884 lists n such that c(n)>=n (the line of slope phi). A275885 gives lengths of runs of consecutive terms in A193134. Initially I thought these lengths were always 1 or 2, which might have been significant, but that is false. A275888 gives first differences of A275884. Initially I thought these terms were always 1, 2, or 3, but that is also false. I can't correct these errors until Monday, because the OEIS is in read-only mode for a server upgrade. I can send a larger picture of the chess-board to anyone who is interested.