A283412 Number of nX5 0..1 arrays with no 1 equal to more than three of its horizontal, vertical and antidiagonal neighbors.

32, 912, 20744, 519252, 12806920, 315717408, 7790355688, 192182078748, 4741143038544, 116964083503632, 2885504333511816, 71185418665054296, 1756144835980151024, 43324107338347311024, 1068806077429802489752

Offset

1,1

Comments

Column 5 of A283415.

Links

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

Formula

Empirical: a(n) = 13*a(n-1) +228*a(n-2) +1321*a(n-3) +3587*a(n-4) +6648*a(n-5) +4808*a(n-6) +23696*a(n-7) +47315*a(n-8) +419628*a(n-9) -870309*a(n-10) +1567905*a(n-11) -601094*a(n-12) -2760190*a(n-13) +11844999*a(n-14) -23437302*a(n-15) +31055256*a(n-16) -40298061*a(n-17) +41215657*a(n-18) -37139862*a(n-19) +39606164*a(n-20) -38463655*a(n-21) +27093646*a(n-22) -14888649*a(n-23) +11716400*a(n-24) -10771719*a(n-25) +5771122*a(n-26) -1073393*a(n-27) -535654*a(n-28) +423321*a(n-29) -155939*a(n-30) +68452*a(n-31) -31796*a(n-32) +11014*a(n-33) -2628*a(n-34) +576*a(n-35) -225*a(n-36) +81*a(n-37) for n>39

Example

Some solutions for n=3
..1..1..1..1..0. .1..1..0..1..0. .1..1..0..1..0. .0..0..0..0..0
..0..0..0..0..1. .0..1..0..1..1. .0..1..1..0..0. .1..0..0..0..0
..0..0..0..1..1. .0..0..1..0..1. .0..0..1..1..0. .0..0..1..0..0

Crossrefs

Cf. A283415.

Sequence in context: A283854 A160314 A241223 * A227441 A067820 A263818

Adjacent sequences: A283409 A283410 A283411 * A283413 A283414 A283415

Keyword

nonn

Author

R. H. Hardin, Mar 07 2017

Status

approved