A208120 Number of 5Xn 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 0 1 and 0 1 1 vertically

12, 144, 420, 1225, 7315, 43681, 175560, 705600, 3503640, 17397241, 76934095, 340218025, 1602280260, 7546049424, 34331884092, 156198057961, 724234470091, 3358015935121, 15408300507600, 70701190560000, 326286103743600

Offset

1,1

Comments

Row 5 of A208118

Links

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

Formula

Empirical: a(n) = a(n-1) -6*a(n-2) +29*a(n-3) +247*a(n-4) +246*a(n-5) +1656*a(n-6) -9936*a(n-8) -8856*a(n-9) -53352*a(n-10) -37584*a(n-11) +46656*a(n-12) -46656*a(n-13) +279936*a(n-14)

Example

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

Crossrefs

Sequence in context: A207029 A207174 A207457 * A207370 A208015 A208557

Adjacent sequences: A208117 A208118 A208119 * A208121 A208122 A208123

Keyword

nonn

Author

R. H. Hardin Feb 23 2012

Status

approved