A283546 Number of 5Xn 0..1 arrays with no 1 equal to more than one of its horizontal, diagonal and antidiagonal neighbors.

32, 291, 2615, 29558, 282773, 2905717, 29377334, 295789859, 2998091753, 30266794266, 306005234215, 3093187359365, 31261007663534, 315993726715575, 3193844095568199, 32282050634653328, 326293583523224661

Offset

1,1

Comments

Row 5 of A283543.

Links

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

Formula

Empirical: a(n) = 4*a(n-1) +42*a(n-2) +198*a(n-3) -64*a(n-4) +925*a(n-5) -1855*a(n-6) +7735*a(n-7) -27083*a(n-8) +45326*a(n-9) -73559*a(n-10) +51145*a(n-11) +19879*a(n-12) +10890*a(n-13) +32935*a(n-14) -24368*a(n-15) +328*a(n-16) +7803*a(n-17) -32113*a(n-18) -558*a(n-19) +29*a(n-20) +30*a(n-21)

Example

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

Crossrefs

Cf. A283543.

Sequence in context: A267324 A197523 A337418 * A297685 A303725 A305228

Adjacent sequences: A283543 A283544 A283545 * A283547 A283548 A283549

Keyword

nonn

Author

R. H. Hardin, Mar 10 2017

Status

approved