A208686 Number of nX6 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 1 1 and 1 0 1 vertically

26, 676, 2430, 11727, 66094, 301035, 1332721, 6219706, 28669412, 130450900, 599156271, 2760581304, 12692272021, 58421183145, 269289045586, 1241270953000, 5722274656706, 26389387599127, 121715139738150, 561405501868311

Offset

1,1

Comments

Column 6 of A208688

Links

R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

Empirical: a(n) = 6*a(n-1) -7*a(n-2) +31*a(n-3) -128*a(n-4) -30*a(n-5) -116*a(n-6) +788*a(n-7) +798*a(n-8) +678*a(n-9) -2778*a(n-10) -1872*a(n-11) -1842*a(n-12) +3336*a(n-13) +1554*a(n-14) +378*a(n-15) -2736*a(n-16) +912*a(n-17) +312*a(n-18) +1590*a(n-19) -540*a(n-20) -228*a(n-21) -222*a(n-22) +210*a(n-23) -86*a(n-24) +24*a(n-25) -38*a(n-26) +8*a(n-27) -a(n-28) -a(n-30) +a(n-31)

Example

Some solutions for n=4
..1..1..0..1..1..0....1..1..0..1..0..1....1..1..0..1..1..1....1..0..1..1..1..1
..0..1..0..1..0..1....0..1..1..1..1..1....1..1..0..1..1..0....1..0..1..0..1..0
..0..1..0..1..0..0....0..1..0..1..0..1....0..1..1..1..0..0....1..0..1..0..1..0
..1..0..1..0..1..0....0..1..0..1..0..1....0..1..0..1..0..1....0..1..0..1..1..1

Crossrefs

Sequence in context: A207932 A207849 A208838 * A207350 A207772 A207899

Adjacent sequences: A208683 A208684 A208685 * A208687 A208688 A208689

Keyword

nonn

Author

R. H. Hardin Mar 01 2012

Status

approved