A207604 Number of 7Xn 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 0 1 and 1 0 1 vertically

14, 196, 546, 1521, 10725, 75625, 292600, 1132096, 6404216, 36228361, 159389139, 701243361, 3636529806, 18858430276, 87651752650, 407394975625, 2035887257525, 10174001088241, 48443243140656, 230661249751296, 1134162648191664

Offset

1,1

Comments

Row 7 of A207599

Links

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

Formula

Empirical: a(n) = a(n-1) -6*a(n-2) +31*a(n-3) +319*a(n-4) +270*a(n-5) +2100*a(n-6) -12600*a(n-8) -9720*a(n-9) -68904*a(n-10) -40176*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....0..0..1..1....0..1..1..0....0..1..1..1....1..1..0..1
..1..1..0..0....0..0..1..1....0..1..1..1....0..1..1..0....0..0..1..1
..1..1..0..0....0..0..1..1....0..0..1..1....0..1..1..0....0..0..1..1
..1..1..0..0....0..0..1..1....0..0..1..1....0..1..1..0....0..0..1..1
..1..1..0..0....0..0..1..1....0..0..1..1....0..1..1..0....0..0..1..1
..1..1..0..0....0..0..1..1....0..0..1..1....0..1..1..0....0..0..1..1
..1..1..0..0....0..0..1..1....0..0..1..1....0..1..1..0....0..0..1..1

Crossrefs

Sequence in context: A207765 A207732 A208691 * A207030 A207175 A207458

Adjacent sequences: A207601 A207602 A207603 * A207605 A207606 A207607

Keyword

nonn

Author

R. H. Hardin Feb 19 2012

Status

approved