A205820 Number of (n+1) X 6 0..2 arrays with the number of clockwise edge increases in every 2 X 2 subblock unequal to the number of counterclockwise edge increases.

1344, 8274, 53100, 380568, 2791080, 20842578, 156410676, 1177361316, 8870853996, 66873761742, 504225673728, 3802217597802, 28672407717948, 216221748724626, 1630562796353904, 12296378355562308, 92729406038121768, 699291160811405796

Offset

1,1

Comments

Column 5 of A205823.

Links

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

Formula

Empirical: a(n) = 7*a(n-1) +53*a(n-2) -357*a(n-3) -1079*a(n-4) +7394*a(n-5) +11581*a(n-6) -84118*a(n-7) -73551*a(n-8) +594925*a(n-9) +284936*a(n-10) -2793237*a(n-11) -633322*a(n-12) +9049520*a(n-13) +497598*a(n-14) -20718745*a(n-15) +1367131*a(n-16) +34016824*a(n-17) -5176803*a(n-18) -40382375*a(n-19) +8617455*a(n-20) +34762108*a(n-21) -8910046*a(n-22) -21645081*a(n-23) +6188645*a(n-24) +9664248*a(n-25) -2958595*a(n-26) -3042270*a(n-27) +974466*a(n-28) +655984*a(n-29) -217442*a(n-30) -92260*a(n-31) +31633*a(n-32) +7754*a(n-33) -2784*a(n-34) -325*a(n-35) +127*a(n-36) +4*a(n-37) -2*a(n-38).

Example

Some solutions for n=4:
..1..0..1..0..0..2....0..2..1..2..2..2....0..0..0..0..1..0....2..1..1..0..1..0
..2..0..2..2..1..1....1..2..0..0..1..0....1..2..1..2..1..2....2..0..2..0..2..0
..1..1..1..0..0..2....0..2..1..2..1..2....0..2..0..2..0..2....1..0..1..0..1..0
..2..0..2..2..1..1....1..2..0..2..0..2....1..1..0..1..0..1....2..0..2..2..2..2
..1..0..1..0..0..2....0..2..1..1..0..1....0..2..2..1..2..1....1..0..1..0..1..0

Crossrefs

Sequence in context: A264385 A167437 A259675 * A202430 A268907 A206321

Adjacent sequences: A205817 A205818 A205819 * A205821 A205822 A205823

Keyword

nonn

Author

R. H. Hardin, Feb 01 2012

Status

approved