A283490 Number of nX4 0..1 arrays with no 1 equal to more than three of its horizontal, vertical and antidiagonal neighbors, with the exception of exactly one element.

0, 12, 576, 10000, 174232, 2836520, 44556288, 682531252, 10259419732, 151989851116, 2225755771660, 32288288990584, 464741070550596, 6645185188373116, 94481985224695172, 1336805969470984280

Offset

1,2

Comments

Column 4 of A283494.

Links

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

Formula

Empirical: a(n) = 16*a(n-1) +52*a(n-2) -654*a(n-3) -5302*a(n-4) -17804*a(n-5) -34717*a(n-6) -39544*a(n-7) -19349*a(n-8) +12798*a(n-9) +21900*a(n-10) +25134*a(n-11) -8508*a(n-12) +27210*a(n-13) -49683*a(n-14) +51034*a(n-15) -55534*a(n-16) +47912*a(n-17) -34845*a(n-18) +22796*a(n-19) -12555*a(n-20) +5822*a(n-21) -2280*a(n-22) +694*a(n-23) -145*a(n-24) +18*a(n-25) -a(n-26) for n>29

Example

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

Crossrefs

Cf. A283494.

Sequence in context: A192606 A179424 A316977 * A159722 A307948 A042111

Adjacent sequences: A283487 A283488 A283489 * A283491 A283492 A283493

Keyword

nonn

Author

R. H. Hardin, Mar 08 2017

Status

approved