A207926 Number of nX6 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 0 0 and 1 1 1 vertically

25, 625, 900, 6084, 30976, 138384, 732736, 3663396, 17690436, 90288004, 448253584, 2207496256, 11142069136, 55246622116, 274071096324, 1375342562500, 6824320275600, 33960175831296, 169836568722496, 843680456407684

Offset

1,1

Comments

Column 6 of A207928

Links

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

Formula

Empirical: a(n) = a(n-1) +2*a(n-2) +152*a(n-3) -69*a(n-4) +71*a(n-5) -7546*a(n-6) +722*a(n-7) -5058*a(n-8) +150792*a(n-9) +8524*a(n-10) +55962*a(n-11) -1450520*a(n-12) -222090*a(n-13) -207154*a(n-14) +7370978*a(n-15) +1456071*a(n-16) +592939*a(n-17) -21038506*a(n-18) -4409754*a(n-19) -1950603*a(n-20) +34994571*a(n-21) +6780102*a(n-22) +3913498*a(n-23) -34648855*a(n-24) -5264075*a(n-25) -3740202*a(n-26) +20686582*a(n-27) +2023371*a(n-28) +1740765*a(n-29) -7313862*a(n-30) -294498*a(n-31) -352786*a(n-32) +1465632*a(n-33) -12928*a(n-34) +21778*a(n-35) -152676*a(n-36) +6042*a(n-37) +460*a(n-38) +7412*a(n-39) -219*a(n-40) -73*a(n-41) -154*a(n-42) +a(n-44) +a(n-45) for n>47

Example

Some solutions for n=5
..0..0..1..1..1..0....1..1..0..1..1..1....0..1..1..1..1..1....0..1..1..1..1..0
..1..1..0..0..1..1....0..0..1..1..1..0....0..1..1..0..0..1....1..1..1..0..0..1
..0..0..1..1..0..0....0..1..1..0..0..1....1..0..0..1..1..0....1..0..0..1..1..0
..1..1..0..0..1..1....1..1..0..1..1..0....1..0..0..1..1..1....0..1..1..0..1..1
..1..0..0..1..1..1....0..0..1..1..0..1....0..1..1..0..0..1....0..1..1..0..0..1

Crossrefs

Sequence in context: A366476 A209222 A207691 * A207698 A207594 A207513

Adjacent sequences: A207923 A207924 A207925 * A207927 A207928 A207929

Keyword

nonn

Author

R. H. Hardin Feb 21 2012

Status

approved