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A209652 Number of 5Xn 0..1 arrays avoiding 0 0 1 and 1 0 0 horizontally and 0 0 1 and 1 0 1 vertically 1

%I #5 Mar 31 2012 12:37:29

%S 10,100,390,1215,4690,16830,65765,251160,994050,3911375,15639390,

%T 62524602,251961125,1016913820,4122470862,16742504735,68184829338,

%U 278147046150,1136817652005,4652769761136,19069624615146,78246585726191

%N Number of 5Xn 0..1 arrays avoiding 0 0 1 and 1 0 0 horizontally and 0 0 1 and 1 0 1 vertically

%C Row 5 of A209650

%H R. H. Hardin, <a href="/A209652/b209652.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 11*a(n-1) -13*a(n-2) -243*a(n-3) +709*a(n-4) +2169*a(n-5) -9198*a(n-6) -9930*a(n-7) +61958*a(n-8) +23330*a(n-9) -254062*a(n-10) -16614*a(n-11) +669763*a(n-12) -53961*a(n-13) -1146177*a(n-14) +176529*a(n-15) +1247849*a(n-16) -252499*a(n-17) -820948*a(n-18) +202824*a(n-19) +291592*a(n-20) -85440*a(n-21) -41472*a(n-22) +13824*a(n-23) for n>24

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Mar 11 2012

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Last modified April 25 13:12 EDT 2024. Contains 371969 sequences. (Running on oeis4.)