A207370 Number of 5Xn 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 1 and 0 1 1 vertically

12, 144, 420, 1736, 5856, 15525, 45738, 115368, 287174, 700960, 1620770, 3730344, 8345010, 18340994, 39838311, 85088956, 179931750, 376333104, 779411136, 1601416922, 3263854675, 6606700688, 13288445988, 26569986742, 52845438100

Offset

1,1

Comments

Row 5 of A207368

Links

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

Formula

Empirical: a(n) = 5*a(n-1) -3*a(n-2) -14*a(n-3) -7*a(n-4) +68*a(n-5) +9*a(n-6) -97*a(n-7) -119*a(n-8) +156*a(n-9) +124*a(n-10) +29*a(n-11) -161*a(n-12) -6*a(n-13) -164*a(n-14) +73*a(n-15) +79*a(n-16) +216*a(n-17) -118*a(n-18) +9*a(n-19) -127*a(n-20) +16*a(n-21) -64*a(n-22) +107*a(n-23) -11*a(n-24) +34*a(n-25) -30*a(n-26) +13*a(n-27) -26*a(n-28) +9*a(n-29) -3*a(n-30) +5*a(n-31) -2*a(n-32) +2*a(n-33) -a(n-34)

Example

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

Crossrefs

Sequence in context: A207174 A207457 A208120 * A208015 A208557 A183355

Adjacent sequences: A207367 A207368 A207369 * A207371 A207372 A207373

Keyword

nonn

Author

R. H. Hardin Feb 17 2012

Status

approved