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A207787 Number of 5Xn 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 0 and 1 0 1 vertically 1

%I #5 Mar 31 2012 12:37:19

%S 13,169,621,2200,6766,17763,46199,110732,257118,582114,1274558,

%T 2750932,5820516,12139129,25026151,50987441,102961663,206146550,

%U 409655636,808788667,1587088299,3097694214,6016346686,11632341504,22398414558

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

%C Row 5 of A207785

%H R. H. Hardin, <a href="/A207787/b207787.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 5*a(n-1) -2*a(n-2) -22*a(n-3) +11*a(n-4) +73*a(n-5) -33*a(n-6) -152*a(n-7) +51*a(n-8) +205*a(n-9) -60*a(n-10) -164*a(n-11) +115*a(n-12) -148*a(n-14) +93*a(n-15) +175*a(n-16) -179*a(n-17) -6*a(n-18) +95*a(n-19) -60*a(n-20) -72*a(n-21) +129*a(n-22) -29*a(n-23) -67*a(n-24) +64*a(n-25) -19*a(n-26) -16*a(n-27) +a(n-28) +42*a(n-29) -49*a(n-30) +33*a(n-31) -17*a(n-32) +8*a(n-33) -11*a(n-34) +12*a(n-35) -8*a(n-36) +4*a(n-37) -a(n-38) for n>39

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 20 2012

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Last modified April 26 12:06 EDT 2024. Contains 371997 sequences. (Running on oeis4.)