A205819 Number of (n+1) X 5 0..2 arrays with the number of clockwise edge increases in every 2 X 2 subblock unequal to the number of counterclockwise edge increases.

492, 2430, 12318, 67944, 380568, 2158482, 12281976, 70022628, 399463842, 2279603796, 13010464716, 74259457206, 423858388308, 2419327070832, 13809259294038, 78821939400948, 449908555238976, 2568038752491042

Offset

1,1

Comments

Column 4 of A205823.

Links

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

Formula

Empirical: a(n) = 10*a(n-1) -18*a(n-2) -83*a(n-3) +264*a(n-4) +171*a(n-5) -1140*a(n-6) +234*a(n-7) +2180*a(n-8) -1280*a(n-9) -1912*a(n-10) +1667*a(n-11) +624*a(n-12) -873*a(n-13) +32*a(n-14) +162*a(n-15) -31*a(n-16) -8*a(n-17) +2*a(n-18).

Example

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

Crossrefs

Sequence in context: A205058 A229520 A226715 * A234672 A234667 A231455

Adjacent sequences: A205816 A205817 A205818 * A205820 A205821 A205822

Keyword

nonn

Author

R. H. Hardin, Feb 01 2012

Status

approved