A207566 Number of 5Xn 0..1 arrays avoiding 0 0 1 and 0 1 0 horizontally and 0 1 1 and 1 1 0 vertically

14, 196, 618, 2135, 9568, 32823, 106833, 378104, 1270366, 4115246, 13610961, 44612720, 143811649, 464834887, 1499835880, 4806097790, 15381806724, 49183889079, 156799893608, 499134276207, 1587530091239, 5041841569010

Offset

1,1

Comments

Row 5 of A207564

Links

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

Formula

Empirical: a(n) = 5*a(n-1) -6*a(n-2) +22*a(n-3) -85*a(n-4) +35*a(n-5) -76*a(n-6) +424*a(n-7) +187*a(n-8) -47*a(n-9) -1134*a(n-10) -824*a(n-11) +5*a(n-12) +1715*a(n-13) +1238*a(n-14) +142*a(n-15) -1061*a(n-16) -707*a(n-17) -174*a(n-18) +280*a(n-19) +89*a(n-20) -13*a(n-21) -46*a(n-22) +10*a(n-23) +11*a(n-24) +11*a(n-25)

Example

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

Crossrefs

Sequence in context: A207175 A207458 A208004 * A207561 A207416 A209647

Adjacent sequences: A207563 A207564 A207565 * A207567 A207568 A207569

Keyword

nonn

Author

R. H. Hardin Feb 18 2012

Status

approved