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A275568 Number of 5Xn 0..2 arrays with no element equal to any value at offset (-2,0) (-1,2) or (0,-2) and new values introduced in order 0..2.

%I A275568 #4 Aug 01 2016 21:30:48
%S A275568 12,864,1872,4056,13104,42336,138600,453750,1506450,5001414,16784592,
%T A275568 56328576,190035408,641121414,2165870262,7316857446,24718829850,
%U A275568 83508603750,282120696000,953100441600,3220293856320,10880587258614
%N A275568 Number of 5Xn 0..2 arrays with no element equal to any value at offset (-2,0) (-1,2) or (0,-2) and new values introduced in order 0..2.
%C A275568 Row 5 of A275565.
%H A275568 R. H. Hardin, <a href="/A275568/b275568.txt">Table of n, a(n) for n = 1..210</a>
%F A275568 Empirical: a(n) = 7*a(n-1) +7*a(n-2) -153*a(n-3) +128*a(n-4) +1661*a(n-5) -2987*a(n-6) -11147*a(n-7) +31265*a(n-8) +44933*a(n-9) -209769*a(n-10) -65464*a(n-11) +988481*a(n-12) -428751*a(n-13) -3404950*a(n-14) +3691505*a(n-15) +8623905*a(n-16) -16041975*a(n-17) -15201775*a(n-18) +49315575*a(n-19) +13559611*a(n-20) -116797842*a(n-21) +18028343*a(n-22) +220372013*a(n-23) -106427533*a(n-24) -335355156*a(n-25) +260460612*a(n-26) +411365412*a(n-27) -446068765*a(n-28) -401412528*a(n-29) +590037487*a(n-30) +301637628*a(n-31) -624695552*a(n-32) -161284890*a(n-33) +539917211*a(n-34) +45168922*a(n-35) -388786164*a(n-36) +14654711*a(n-37) +240717215*a(n-38) -29174529*a(n-39) -133749307*a(n-40) +24747125*a(n-41) +68598600*a(n-42) -17271849*a(n-43) -31876238*a(n-44) +10697884*a(n-45) +12697117*a(n-46) -5593463*a(n-47) -4068750*a(n-48) +2346552*a(n-49) +972250*a(n-50) -764373*a(n-51) -148698*a(n-52) +187979*a(n-53) +5357*a(n-54) -33466*a(n-55) +3817*a(n-56) +3912*a(n-57) -1040*a(n-58) -228*a(n-59) +129*a(n-60) -6*a(n-61) -6*a(n-62) +a(n-63) for n>66
%e A275568 Some solutions for n=4
%e A275568 ..0..1..2..2. .0..1..2..2. .0..0..1..2. .0..1..1..2. .0..1..2..2
%e A275568 ..1..1..0..0. .1..0..0..1. .2..1..1..2. .2..1..0..0. .1..1..0..2
%e A275568 ..1..2..0..1. .2..2..1..1. .2..1..0..0. .1..2..0..0. .1..0..0..1
%e A275568 ..2..0..1..2. .0..2..2..0. .1..2..0..0. .1..2..2..1. .2..2..1..0
%e A275568 ..0..0..2..2. .0..1..2..2. .1..2..2..1. .0..0..2..2. .0..1..2..0
%Y A275568 Cf. A275565.
%K A275568 nonn
%O A275568 1,1
%A A275568 _R. H. Hardin_, Aug 01 2016