A242148 Number of length 4+5 0..n arrays with no consecutive six elements summing to more than 3*n.
236, 7596, 93308, 663395, 3319500, 13006484, 42564898, 121330981, 310054250, 725133024, 1576001362, 3220436895, 6243597894, 11567739640, 20600804748, 35433429545, 59095358912, 95883815172, 151778022640, 234955848347
Offset: 1
Keywords
Examples
Some solutions for n=3 ..0....2....0....0....2....2....3....2....2....3....3....2....2....3....1....2 ..2....2....3....2....0....0....1....0....1....0....0....2....0....2....1....1 ..1....0....0....0....0....0....3....1....2....0....1....3....2....0....0....0 ..3....0....2....0....1....2....0....0....3....2....0....0....1....2....3....0 ..0....1....0....1....3....0....0....1....0....2....2....1....0....2....3....1 ..2....2....3....0....0....2....0....1....0....2....3....1....0....0....0....2 ..1....1....1....3....3....1....3....2....1....2....1....0....0....2....1....0 ..0....1....1....0....1....2....2....1....2....1....1....1....0....2....2....0 ..0....2....1....2....0....1....0....0....2....0....0....3....2....1....0....2
Links
- R. H. Hardin, Table of n, a(n) for n = 1..210
Formula
Empirical: a(n) = (51431/181440)*n^9 + (7069/2520)*n^8 + (373229/30240)*n^7 + (763/24)*n^6 + (457907/8640)*n^5 + (1191/20)*n^4 + (2059039/45360)*n^3 + (5759/252)*n^2 + (4399/630)*n + 1
Comments