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A207657 Number of nX4 0..1 arrays avoiding 0 0 0 and 1 1 1 horizontally and 0 0 1 and 1 0 0 vertically 1

%I #5 Mar 31 2012 12:37:18

%S 10,100,292,870,2774,9060,30440,103838,359206,1254128,4412792,

%T 15616086,55522546,198135096,709186104,2544574170,9148317066,

%U 32944585328,118801548180,428898598218,1549885877794,5605176866756,20284633906700

%N Number of nX4 0..1 arrays avoiding 0 0 0 and 1 1 1 horizontally and 0 0 1 and 1 0 0 vertically

%C Column 4 of A207661

%H R. H. Hardin, <a href="/A207657/b207657.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 8*a(n-1) -9*a(n-2) -67*a(n-3) +135*a(n-4) +215*a(n-5) -508*a(n-6) -375*a(n-7) +781*a(n-8) +426*a(n-9) -467*a(n-10) -263*a(n-11) +81*a(n-12) +51*a(n-13) -4*a(n-14) -3*a(n-15) for n>16

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 19 2012

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Last modified April 25 03:15 EDT 2024. Contains 371964 sequences. (Running on oeis4.)