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A207855 Number of nX5 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 1 0 and 1 0 1 vertically 1

%I

%S 15,225,1071,7289,44121,279219,1737981,10873197,67902955,424387041,

%T 2651860269,16571735565,103552803445,647076103565,4043412030973,

%U 25266419946873,157884983254865,986593269768561,6165025417156933

%N Number of nX5 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 1 0 and 1 0 1 vertically

%C Column 5 of A207858

%H R. H. Hardin, <a href="/A207855/b207855.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 8*a(n-1) -20*a(n-2) +24*a(n-3) +154*a(n-4) +164*a(n-5) +908*a(n-6) -48*a(n-7) +2963*a(n-8) -8406*a(n-9) -32288*a(n-10) -41552*a(n-11) -64967*a(n-12) +27432*a(n-13) +54104*a(n-14) +636016*a(n-15) +805740*a(n-16) +103162*a(n-17) -1914744*a(n-18) -3070336*a(n-19) -960103*a(n-20) +192624*a(n-21) +871096*a(n-22) -313232*a(n-23) +1362214*a(n-24) +2175596*a(n-25) +182480*a(n-26) -81648*a(n-27) -370246*a(n-28) +133416*a(n-29) -282032*a(n-30) -734512*a(n-31) -175129*a(n-32) +122484*a(n-33) +83948*a(n-34) -38680*a(n-35) +81164*a(n-36) +59916*a(n-37) +22876*a(n-38) +1920*a(n-39) -22169*a(n-40) +6538*a(n-41) -1744*a(n-42) -4288*a(n-43) +141*a(n-44) -560*a(n-45) +120*a(n-46) -50*a(n-48) +42*a(n-49) +a(n-52)

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 21 2012

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Last modified July 25 13:05 EDT 2021. Contains 346290 sequences. (Running on oeis4.)