|
%I #4 Apr 23 2018 10:57:13
%S 16,512,15684,480960,14783632,454377792,13963574592,429120257920,
%T 13187561948672,405274990273152,12454747469604352,382754285816985088,
%U 11762650890909921792,361485059270954623488,11109013532532411652096
%N Number of 5Xn 0..1 arrays with every element equal to 0, 1, 2, 3, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.
%C Row 5 of A303421.
%H R. H. Hardin, <a href="/A303424/b303424.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 24*a(n-1) +128*a(n-2) +1992*a(n-3) +12020*a(n-4) +34880*a(n-5) +114640*a(n-6) -50896*a(n-7) -1751680*a(n-8) -2941888*a(n-9) +1000832*a(n-10) +4564992*a(n-11) +15197184*a(n-12) +31211520*a(n-13) +9373696*a(n-14) -4317184*a(n-15) -8290304*a(n-16) -40501248*a(n-17) -3145728*a(n-18) +16777216*a(n-19)
%e Some solutions for n=5
%e ..0..0..0..0..0. .0..0..0..0..0. .0..0..0..0..0. .0..0..0..0..0
%e ..0..0..0..0..1. .0..0..0..1..0. .0..0..0..1..0. .0..0..0..0..1
%e ..1..1..0..0..1. .1..1..0..0..1. .1..0..0..1..0. .0..1..1..1..0
%e ..1..0..1..1..0. .0..0..0..0..1. .0..1..0..1..1. .0..0..1..0..1
%e ..0..1..0..1..1. .0..0..1..0..1. .0..1..0..0..0. .1..0..0..0..0
%Y Cf. A303421.
%K nonn
%O 1,1
%A _R. H. Hardin_, Apr 23 2018
| 