A246744 Number of length 7+4 0..n arrays with no pair in any consecutive five terms totalling exactly n.
2, 68, 10812, 135776, 2818830, 19906740, 162700376, 766650656, 3696053370, 13019727620, 45166073172, 128894476608, 358710268742, 876273071156, 2086036196400, 4529314688960, 9603337631346, 19024638124356, 36902088232940
Offset: 1
Keywords
Examples
Some solutions for n=4 ..2....2....0....1....1....0....2....3....0....0....3....2....1....1....2....0 ..1....0....2....2....4....1....3....2....1....2....0....3....1....0....0....0 ..1....0....1....1....4....2....0....4....0....1....0....3....1....1....0....0 ..0....1....1....1....1....0....3....3....1....1....0....4....1....0....0....0 ..1....1....1....4....4....1....0....3....0....1....0....3....1....2....0....0 ..2....0....0....4....1....1....3....3....1....1....0....3....1....0....1....0 ..0....2....1....4....1....1....3....2....0....1....0....4....0....0....1....0 ..1....1....1....1....2....1....3....3....0....0....1....3....1....1....1....0 ..1....1....2....4....1....0....3....4....0....1....1....4....1....0....1....3 ..0....0....0....1....1....2....4....3....0....0....2....4....0....0....2....3 ..2....0....1....2....0....1....3....3....3....2....1....2....1....2....1....0
Links
- R. H. Hardin, Table of n, a(n) for n = 1..56
Formula
Empirical: a(n) = 3*a(n-1) +6*a(n-2) -26*a(n-3) -9*a(n-4) +99*a(n-5) -24*a(n-6) -216*a(n-7) +126*a(n-8) +294*a(n-9) -252*a(n-10) -252*a(n-11) +294*a(n-12) +126*a(n-13) -216*a(n-14) -24*a(n-15) +99*a(n-16) -9*a(n-17) -26*a(n-18) +6*a(n-19) +3*a(n-20) -a(n-21)
Comments