A223069 Number of n X 2 0..3 arrays with successive rows and columns fitting to straight lines with nondecreasing slope, with a single point array taken as having zero slope.
16, 150, 1080, 6627, 36552, 187000, 905440, 4206453, 18933408, 83153850, 358250280, 1520208679, 6373759384, 26468569500, 109080982800, 446806304505, 1821267503280, 7395000190750, 29933239010200, 120863093617131
Offset: 1
Keywords
Examples
Some solutions for n=3: ..2..1....2..2....3..1....3..3....2..0....2..2....3..0....3..2....1..1....2..0 ..1..2....2..2....2..2....3..3....2..1....2..2....3..2....3..2....2..3....3..2 ..0..2....2..2....0..2....0..3....3..2....3..3....0..3....0..0....0..1....1..1
Links
- R. H. Hardin, Table of n, a(n) for n = 1..41
Formula
Empirical: a(n) = 16*a(n-1) -106*a(n-2) +376*a(n-3) -769*a(n-4) +904*a(n-5) -564*a(n-6) +144*a(n-7).
Empirical g.f.: x*(16 - 106*x + 376*x^2 - 769*x^3 + 904*x^4 - 564*x^5 + 144*x^6) / ((1 - x)^2*(1 - 2*x)^2*(1 - 3*x)^2*(1 - 4*x)). - Colin Barker, Feb 18 2018
Comments