A207941 Number of 5Xn 0..1 arrays avoiding 0 0 1 and 1 0 0 horizontally and 0 0 1 and 1 1 0 vertically

10, 100, 350, 1271, 5594, 25490, 121313, 584386, 2841676, 13864995, 67793828, 331778574, 1624527917, 7956223332, 38970988538, 190898358977, 935140523244, 4580980652676, 22441074230301, 109933649821120, 538540783077848

Offset

1,1

Comments

Row 5 of A207938

Links

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

Formula

Empirical: a(n) = 8*a(n-1) -5*a(n-2) -82*a(n-3) +113*a(n-4) +341*a(n-5) -502*a(n-6) -765*a(n-7) +943*a(n-8) +998*a(n-9) -797*a(n-10) -709*a(n-11) +275*a(n-12) +233*a(n-13) -26*a(n-14) -24*a(n-15) for n>16

Example

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

Crossrefs

Sequence in context: A207308 A207114 A207394 * A207468 A207520 A207919

Adjacent sequences: A207938 A207939 A207940 * A207942 A207943 A207944

Keyword

nonn

Author

R. H. Hardin Feb 21 2012

Status

approved