A240785 Number of 4Xn 0..1 arrays with no element equal to fewer vertical neighbors than horizontal neighbors, with new values 0..1 introduced in row major order.
8, 34, 97, 305, 959, 3033, 9581, 30354, 96122, 304551, 964960, 3057691, 9689250, 30704176, 97298863, 308333649, 977091497, 3096352093, 9812187127, 31094352992, 98536547134, 312257747281, 989530396718, 3135776321313, 9937131194560
Offset: 1
Keywords
Examples
Some solutions for n=4 ..0..0..1..0....0..1..1..0....0..1..0..1....0..0..1..0....0..1..0..1 ..0..0..1..1....1..1..1..0....1..1..0..1....0..0..1..0....0..1..1..0 ..1..0..0..1....1..1..0..1....1..1..0..1....1..1..0..0....0..1..1..1 ..1..0..0..1....0..1..0..1....1..0..1..0....1..1..0..0....1..0..1..1
Links
- R. H. Hardin, Table of n, a(n) for n = 1..210
Formula
Empirical: a(n) = 6*a(n-1) -11*a(n-2) +7*a(n-3) -10*a(n-5) +13*a(n-6) -3*a(n-7) +27*a(n-8) -44*a(n-9) +13*a(n-10) +5*a(n-11) -8*a(n-12) +8*a(n-13) -3*a(n-14) +a(n-15)
Comments