A283540 Number of nX5 0..1 arrays with no 1 equal to more than one of its horizontal, diagonal and antidiagonal neighbors.

24, 201, 2369, 25532, 282773, 3109801, 34266804, 377393657, 4156954825, 45786939720, 504326714089, 5554965623073, 61185851789928, 673938982059417, 7423182833328281, 81763548900367844, 900594542105052837

Offset

1,1

Comments

Column 5 of A283543.

Links

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

Formula

Empirical: a(n) = 13*a(n-1) -15*a(n-2) -129*a(n-3) +568*a(n-4) +430*a(n-5) -2325*a(n-6) -175*a(n-7) -2127*a(n-8) +3919*a(n-9) +438*a(n-10) -262*a(n-11) -1743*a(n-12) +309*a(n-13) +1745*a(n-14) -463*a(n-15) -462*a(n-16) +152*a(n-17) +53*a(n-18) -19*a(n-19) -3*a(n-20) +a(n-21)

Example

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

Crossrefs

Cf. A283543.

Sequence in context: A223748 A269691 A282644 * A047659 A108671 A097321

Adjacent sequences: A283537 A283538 A283539 * A283541 A283542 A283543

Keyword

nonn

Author

R. H. Hardin, Mar 10 2017

Status

approved