A208116 Number of nX6 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 0 1 and 0 1 1 vertically

25, 625, 3025, 14641, 43681, 130321, 303601, 707281, 1413721, 2825761, 5085025, 9150625, 15249025, 25411681, 39929761, 62742241, 94109401, 141158161, 203889841, 294499921, 412293025, 577200625, 787083025, 1073283121, 1431033241

Offset

1,1

Comments

Column 6 of A208118

Links

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

Formula

Empirical: a(n) = 2*a(n-1) +6*a(n-2) -14*a(n-3) -14*a(n-4) +42*a(n-5) +14*a(n-6) -70*a(n-7) +70*a(n-9) -14*a(n-10) -42*a(n-11) +14*a(n-12) +14*a(n-13) -6*a(n-14) -2*a(n-15) +a(n-16)

Example

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

Crossrefs

Sequence in context: A207784 A207597 A207023 * A207367 A207499 A207241

Adjacent sequences: A208113 A208114 A208115 * A208117 A208118 A208119

Keyword

nonn

Author

R. H. Hardin Feb 23 2012

Status

approved