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Number of nX7 0..1 arrays with every 1 horizontally or antidiagonally adjacent to 2 neighboring 1s.
2

%I #4 Dec 27 2017 21:12:55

%S 1,9,32,130,600,2816,13504,65521,319835,1566612,7687400,37759082,

%T 185561978,912173296,4484666199,22050441495,108423345160,533136119034,

%U 2621552944596,12890861627884,63387955860276,311696797461453

%N Number of nX7 0..1 arrays with every 1 horizontally or antidiagonally adjacent to 2 neighboring 1s.

%C Column 7 of A297299.

%H R. H. Hardin, <a href="/A297298/b297298.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 7*a(n-1) -6*a(n-2) -26*a(n-3) +18*a(n-4) +37*a(n-5) -25*a(n-7) -9*a(n-8) -6*a(n-9) -2*a(n-10) +6*a(n-11) +5*a(n-12) for n>14

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A297299.

%K nonn

%O 1,2

%A _R. H. Hardin_, Dec 27 2017