I changed the 13 in the Fibonacci sequence to 14 just to see what it would do. It added the term "quotient(u_{n-1} , n)" to the Fibonacci recursion, and claime

I changed the 13 in the Fibonacci sequence to 14 just to see what it would do. It added the term "quotient(u_{n-1} , n)" to the Fibonacci recursion, and claimed the resulting formula fit the data perfectly. What? EDIT: since people seem to be confused about why this is wrong... according to the graph, the sequence starts at n = 0. So the modified Fibonacci sequence I created is: n | 0 1 2 3 4 5 6 u | 1 1 2 3 5 8 14 The computer says this formula fits it perfectly: u[n] = u[n-1] + u[n-2] + u[n-1]/n Let n = 5: 8 = 5 + 3 + 5/5 8 = 9 EDIT 2: hmm, contrary to the graph, the engine seems to assume the sequence starts at 1. So then we have n | 1 2 3 4 5 6 7 u | 1 1 2 3 5 8 14 I guess the formula works if "quotient" is defined as integer division?