A221063 Equals one maps: number of 2Xn binary arrays indicating the locations of corresponding elements equal to exactly one of their horizontal and antidiagonal neighbors in a random 0..3 2Xn array

1, 8, 37, 172, 771, 3392, 14569, 61210, 252491, 1028162, 4152903, 16695976, 66953537, 268144582, 1073206163, 4293994258, 17178121515, 68716367280, 274872418553, 1099502006098, 4398029741851, 17592156966114, 70368693978927

Offset

1,2

Comments

Row 2 of A221062

Links

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

Formula

Empirical: a(n) = 7*a(n-1) -12*a(n-2) -6*a(n-3) +26*a(n-4) -4*a(n-5) -17*a(n-6) +3*a(n-7) +4*a(n-8) for n>12

Example

Some solutions for n=3
..0..0..0....0..1..1....1..1..1....0..0..1....1..0..1....0..1..0....0..0..0
..1..0..1....0..1..1....0..1..0....0..0..1....1..1..0....1..0..0....0..0..1

Crossrefs

Sequence in context: A272739 A220917 A221891 * A221633 A201452 A128246

Adjacent sequences: A221060 A221061 A221062 * A221064 A221065 A221066

Keyword

nonn

Author

R. H. Hardin Dec 31 2012

Status

approved