A282437 Number of nX4 0..1 arrays with no 1 equal to more than three of its king-move neighbors, with the exception of exactly one element.

0, 12, 784, 10232, 152726, 2129756, 28043694, 363894560, 4627276420, 57975731008, 718444082936, 8819562334696, 107433540252008, 1300172046801264, 15646959046248480, 187394565589670432, 2234841342566393988

Offset

1,2

Comments

Column 4 of A282441.

Links

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

Formula

Empirical: a(n) = 16*a(n-1) -16*a(n-2) -74*a(n-3) -3558*a(n-4) -3034*a(n-5) -20251*a(n-6) +110356*a(n-7) -14615*a(n-8) +956252*a(n-9) -1210441*a(n-10) +2656776*a(n-11) -9054893*a(n-12) +3984404*a(n-13) -24433439*a(n-14) +2427526*a(n-15) -26966146*a(n-16) -9962078*a(n-17) -7925618*a(n-18) -20750296*a(n-19) +2245238*a(n-20) -7882436*a(n-21) +958326*a(n-22) +832918*a(n-23) -117605*a(n-24) +2408230*a(n-25) +356709*a(n-26) +695126*a(n-27) +29361*a(n-28) -62742*a(n-29) -46566*a(n-30) -47548*a(n-31) -13193*a(n-32) -4556*a(n-33) -1156*a(n-34)

Example

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

Crossrefs

Cf. A282441.

Sequence in context: A284769 A201246 A291999 * A285150 A221289 A341562

Adjacent sequences: A282434 A282435 A282436 * A282438 A282439 A282440

Keyword

nonn

Author

R. H. Hardin, Feb 15 2017

Status

approved