A205254 Number of (n+1)X8 0..1 arrays with the number of clockwise edge increases in every 2X2 subblock the same

8752, 323856, 12301024, 471988176, 18189909484, 702420750928, 27149753088796, 1049837466171440, 40603753889665636, 1570549319417597660, 60751409051086135564, 2350012855527394133456, 90905131505907584858392

Offset

1,1

Comments

Column 7 of A205255

Links

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

Formula

Empirical: a(n) = 106*a(n-1) -4578*a(n-2) +110127*a(n-3) -1685691*a(n-4) +17662632*a(n-5) -132490685*a(n-6) +732439565*a(n-7) -3041749572*a(n-8) +9607185471*a(n-9) -23244897123*a(n-10) +43214022033*a(n-11) -61676422325*a(n-12) +67255934696*a(n-13) -55515488409*a(n-14) +34166147646*a(n-15) -15313024644*a(n-16) +4816467696*a(n-17) -999456992*a(n-18) +121777664*a(n-19) -6527616*a(n-20)

Example

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

Crossrefs

Sequence in context: A269108 A269288 A234148 * A061665 A237484 A255758

Adjacent sequences: A205251 A205252 A205253 * A205255 A205256 A205257

Keyword

nonn

Author

R. H. Hardin Jan 24 2012

Status

approved