A232044 Number of nX5 0..1 arrays with no element less than a strict majority of its horizontal and antidiagonal neighbors

12, 79, 1315, 22063, 377676, 6430408, 109609484, 1868028342, 31836538191, 542586883485, 9247235554661, 157599508115116, 2685948646284826, 45776288238345925, 780159569752010830, 13296162250888648968

Offset

1,1

Comments

Column 5 of A232047

Links

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

Formula

Empirical: a(n) = 12*a(n-1) +99*a(n-2) -133*a(n-3) -1593*a(n-4) +638*a(n-5) +9006*a(n-6) -2223*a(n-7) -18168*a(n-8) +4203*a(n-9) +6433*a(n-10) -453*a(n-11) -1184*a(n-12) +28*a(n-13) +96*a(n-14) for n>15

Example

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

Crossrefs

Sequence in context: A061593 A344728 A243955 * A190216 A160559 A038734

Adjacent sequences: A232041 A232042 A232043 * A232045 A232046 A232047

Keyword

nonn

Author

R. H. Hardin, Nov 17 2013

Status

approved