A232049 Number of 3Xn 0..1 arrays with no element less than a strict majority of its horizontal and antidiagonal neighbors.
8, 21, 80, 318, 1315, 5364, 21680, 87452, 352931, 1425261, 5757064, 23253889, 93921193, 379334811, 1532086339, 6187939435, 24992490166, 100942222266, 407695589939, 1646641727295, 6650621491464, 26861196902537, 108489696252447
Offset: 1
Keywords
Examples
Some solutions for n=7 ..0..0..0..0..0..0..0....0..0..0..1..1..1..1....1..0..0..0..0..0..1 ..1..0..0..1..0..0..1....1..0..0..0..1..0..0....0..0..0..0..0..1..0 ..1..1..1..0..0..1..1....1..1..0..0..0..0..1....0..0..1..1..1..0..0
Links
- R. H. Hardin, Table of n, a(n) for n = 1..210
Formula
Empirical: a(n) = 8*a(n-1) -27*a(n-2) +64*a(n-3) -104*a(n-4) +124*a(n-5) -102*a(n-6) +34*a(n-7) +10*a(n-8) -34*a(n-9) +19*a(n-10) -2*a(n-11) +a(n-12) +10*a(n-13) -2*a(n-14) -2*a(n-15) for n>18
Comments