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A207658 Number of nX5 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 16,256,912,3358,13902,60762,284108,1384420,7001532,36242874,

%T 191029826,1018248682,5472087028,29556555912,160218127504,

%U 870447242906,4736443652506,25798272697626,140613098735224,766743297033876

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

%C Column 5 of A207661

%H R. H. Hardin, <a href="/A207658/b207658.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 12*a(n-1) -483*a(n-3) +1058*a(n-4) +8368*a(n-5) -26505*a(n-6) -83508*a(n-7) +326091*a(n-8) +541945*a(n-9) -2475399*a(n-10) -2452693*a(n-11) +12617956*a(n-12) +8107855*a(n-13) -44950291*a(n-14) -20120524*a(n-15) +114179696*a(n-16) +37708979*a(n-17) -208886844*a(n-18) -52673306*a(n-19) +276493256*a(n-20) +53543352*a(n-21) -265039809*a(n-22) -38452576*a(n-23) +183550029*a(n-24) +18679017*a(n-25) -91256473*a(n-26) -5579615*a(n-27) +32186410*a(n-28) +695121*a(n-29) -7890803*a(n-30) +140162*a(n-31) +1299113*a(n-32) -73905*a(n-33) -135188*a(n-34) +12785*a(n-35) +7896*a(n-36) -1016*a(n-37) -192*a(n-38) +30*a(n-39) for n>40

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 19 2012

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Last modified April 19 21:09 EDT 2024. Contains 371798 sequences. (Running on oeis4.)