A202975 Number of nX4 0..1 arrays with every nonzero element less than or equal to at least two horizontal and vertical neighbors.
1, 7, 58, 385, 2582, 17740, 122468, 846908, 5858575, 40519184, 280214415, 1937863565, 13401760093, 92683431379, 640976755990, 4432841883249, 30656469034888, 212012773252576, 1466229429328620, 10140090725898534
Offset: 1
Keywords
Examples
Some solutions for n=5 ..1..1..0..0....1..1..1..0....1..1..0..0....1..1..1..1....0..1..1..0 ..1..1..1..1....1..0..1..1....1..1..1..1....1..0..1..1....1..1..1..1 ..0..0..1..1....1..0..0..1....1..1..1..1....1..0..1..0....1..0..1..1 ..0..1..1..1....1..0..1..1....1..1..1..1....1..1..1..1....1..1..0..1 ..0..1..1..0....1..1..1..0....0..1..1..0....0..1..1..1....0..1..1..1
Links
- R. H. Hardin, Table of n, a(n) for n = 1..210
Formula
Empirical: a(n) = 10*a(n-1) -31*a(n-2) +82*a(n-3) -131*a(n-4) +226*a(n-5) -319*a(n-6) +206*a(n-7) -574*a(n-8) +483*a(n-9) -432*a(n-10) +517*a(n-11) +132*a(n-12) +746*a(n-13) -145*a(n-14) -228*a(n-15) -6*a(n-16) +41*a(n-17) +3*a(n-18) -3*a(n-19)
Comments