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A219144 Unchanging value maps: number of 3Xn binary arrays indicating the locations of corresponding elements unequal to no horizontal, diagonal or antidiagonal neighbor in a random 0..2 3Xn array 2

%I #4 Nov 12 2012 19:22:38

%S 1,18,78,281,1072,4033,15255,57963,220068,835820,3172817,12044346,

%T 45722019,173574485,658947323,2501581220,9496787730,36052730049,

%U 136867284190,519590670019,1972527813429,7488329193659,28428025632710

%N Unchanging value maps: number of 3Xn binary arrays indicating the locations of corresponding elements unequal to no horizontal, diagonal or antidiagonal neighbor in a random 0..2 3Xn array

%C Row 3 of A219142

%H R. H. Hardin, <a href="/A219144/b219144.txt">Table of n, a(n) for n = 1..40</a>

%F Empirical: a(n) = 4*a(n-1) -8*a(n-3) +17*a(n-4) +17*a(n-5) -29*a(n-6) -13*a(n-7) +9*a(n-8) -31*a(n-9) -26*a(n-10) +30*a(n-11) -3*a(n-12) +6*a(n-13) +17*a(n-14) -3*a(n-15) +3*a(n-16) -2*a(n-17) for n>18

%e Some solutions for n=3

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

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

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

%K nonn

%O 1,2

%A _R. H. Hardin_ Nov 12 2012

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Last modified April 24 14:23 EDT 2024. Contains 371960 sequences. (Running on oeis4.)