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A207511 Number of nX5 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 1 and 1 1 1 vertically 1

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

%S 13,169,360,1042,2638,5334,11465,23663,47894,96640,191362,379376,

%T 747730,1463055,2862068,5581156,10849490,21083501,40888242,79201233,

%U 153391120,296676820,573780370,1109365604,2143845429,4144119537,8008600858

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

%C Column 5 of A207514

%H R. H. Hardin, <a href="/A207511/b207511.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = -3*a(n-1) +a(n-2) +26*a(n-3) +52*a(n-4) -4*a(n-5) -214*a(n-6) -401*a(n-7) -149*a(n-8) +783*a(n-9) +1727*a(n-10) +1346*a(n-11) -1132*a(n-12) -4190*a(n-13) -4736*a(n-14) -769*a(n-15) +5465*a(n-16) +8743*a(n-17) +5252*a(n-18) -2947*a(n-19) -9291*a(n-20) -8472*a(n-21) -1348*a(n-22) +5797*a(n-23) +7549*a(n-24) +3456*a(n-25) -1853*a(n-26) -4270*a(n-27) -2823*a(n-28) -93*a(n-29) +1519*a(n-30) +1333*a(n-31) +326*a(n-32) -322*a(n-33) -409*a(n-34) -114*a(n-35) +52*a(n-36) +105*a(n-37) +29*a(n-38) -2*a(n-39) -16*a(n-40) -3*a(n-41) +a(n-43) for n>49

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 18 2012

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Last modified March 28 20:05 EDT 2024. Contains 371254 sequences. (Running on oeis4.)