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

%I #4 Mar 07 2017 10:47:11

%S 32,912,20744,519252,12806920,315717408,7790355688,192182078748,

%T 4741143038544,116964083503632,2885504333511816,71185418665054296,

%U 1756144835980151024,43324107338347311024,1068806077429802489752

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

%C Column 5 of A283415.

%H R. H. Hardin, <a href="/A283412/b283412.txt">Table of n, a(n) for n = 1..210</a>

%F 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

%e Some solutions for n=3

%e ..1..1..1..1..0. .1..1..0..1..0. .1..1..0..1..0. .0..0..0..0..0

%e ..0..0..0..0..1. .0..1..0..1..1. .0..1..1..0..0. .1..0..0..0..0

%e ..0..0..0..1..1. .0..0..1..0..1. .0..0..1..1..0. .0..0..1..0..0

%Y Cf. A283415.

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 07 2017