A207308 Number of 5Xn 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 0 1 and 1 1 0 vertically

10, 100, 350, 1271, 3773, 11497, 36868, 116117, 361408, 1134028, 3564401, 11172725, 35022953, 109875752, 344642683, 1080804698, 3389755038, 10631811817, 33344912997, 104580332523, 328001505224, 1028729270911, 3226449372360

Offset

1,1

Comments

Row 5 of A207305

Links

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

Formula

Empirical: a(n) = a(n-1) +2*a(n-2) +11*a(n-3) +13*a(n-4) +3*a(n-5) -12*a(n-6) -27*a(n-7) -13*a(n-8) -3*a(n-9) +15*a(n-10) +8*a(n-11) +4*a(n-12) -5*a(n-13) -a(n-14) -a(n-15) +2*a(n-16) -a(n-17) for n>18

Example

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

Crossrefs

Sequence in context: A134556 A207449 A208551 * A207114 A207394 A207941

Adjacent sequences: A207305 A207306 A207307 * A207309 A207310 A207311

Keyword

nonn

Author

R. H. Hardin Feb 16 2012

Status

approved