A207511 Number of nX5 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 1 and 1 1 1 vertically.
13, 169, 360, 1042, 2638, 5334, 11465, 23663, 47894, 96640, 191362, 379376, 747730, 1463055, 2862068, 5581156, 10849490, 21083501, 40888242, 79201233, 153391120, 296676820, 573780370, 1109365604, 2143845429, 4144119537, 8008600858
Offset: 1
Keywords
Examples
Some solutions for n=4 ..0..1..0..0..1....1..1..1..0..1....0..1..0..0..1....0..1..0..1..0 ..1..0..0..1..0....1..1..0..0..1....1..0..0..1..0....1..1..1..0..1 ..1..1..0..0..1....0..0..1..0..0....0..1..0..0..1....1..0..0..1..0 ..0..1..0..0..1....0..1..0..0..1....1..0..0..1..0....0..1..0..0..1
Links
- R. H. Hardin, Table of n, a(n) for n = 1..210
Formula
Empirical: a(n) = -3*a(n-1) +a(n-2) +26*a(n-3) +52*a(n-4) -4*a(n-5) -214*a(n-6) -401*a(n-7) -149*a(n-8) +783*a(n-9) +1727*a(n-10) +1346*a(n-11) -1132*a(n-12) -4190*a(n-13) -4736*a(n-14) -769*a(n-15) +5465*a(n-16) +8743*a(n-17) +5252*a(n-18) -2947*a(n-19) -9291*a(n-20) -8472*a(n-21) -1348*a(n-22) +5797*a(n-23) +7549*a(n-24) +3456*a(n-25) -1853*a(n-26) -4270*a(n-27) -2823*a(n-28) -93*a(n-29) +1519*a(n-30) +1333*a(n-31) +326*a(n-32) -322*a(n-33) -409*a(n-34) -114*a(n-35) +52*a(n-36) +105*a(n-37) +29*a(n-38) -2*a(n-39) -16*a(n-40) -3*a(n-41) +a(n-43) for n>49
Comments