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A207115 Number of 6Xn 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 1 and 1 1 0 vertically 1

%I #5 Mar 31 2012 12:37:15

%S 12,144,556,2239,7837,22714,68737,187054,505040,1346150,3472283,

%T 9030485,23093108,58964061,150498240,381786944,970985642,2462695787,

%U 6245279141,15844141700,40148846797,101805976056,258034064806,653990198430

%N Number of 6Xn 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 1 and 1 1 0 vertically

%C Row 6 of A207111

%H R. H. Hardin, <a href="/A207115/b207115.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +11*a(n-2) +2*a(n-3) -65*a(n-4) -54*a(n-5) +189*a(n-6) +289*a(n-7) -247*a(n-8) -717*a(n-9) -70*a(n-10) +833*a(n-11) +558*a(n-12) -116*a(n-13) -140*a(n-14) -566*a(n-15) -1355*a(n-16) -342*a(n-17) +1914*a(n-18) +1998*a(n-19) -313*a(n-20) -1832*a(n-21) -1300*a(n-22) -34*a(n-23) +883*a(n-24) +1032*a(n-25) +316*a(n-26) -492*a(n-27) -565*a(n-28) -131*a(n-29) +159*a(n-30) +164*a(n-31) +64*a(n-32) -24*a(n-33) -47*a(n-34) -17*a(n-35) +9*a(n-36) +7*a(n-37) -a(n-39)

%e Some solutions for n=4

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 15 2012

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Last modified April 23 09:22 EDT 2024. Contains 371905 sequences. (Running on oeis4.)