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A303718 Number of n X 7 0..1 arrays with every element unequal to 0, 1 or 5 king-move adjacent elements, with upper left element zero. 1

%I #6 May 12 2023 15:21:56

%S 21,23,40,161,361,741,1592,3469,7416,15880,34193,73457,157645,338676,

%T 727589,1562584,3356196,7209121,15484337,33258365,71436088,153437805,

%U 329568008,707878984,1520453793,3265780153,7014565013,15066579716

%N Number of n X 7 0..1 arrays with every element unequal to 0, 1 or 5 king-move adjacent elements, with upper left element zero.

%C Column 7 of A303719.

%H R. H. Hardin, <a href="/A303718/b303718.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +a(n-2) +3*a(n-3) +a(n-4) -a(n-5) -a(n-6) for n>9

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A303719.

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 29 2018

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Last modified April 19 19:02 EDT 2024. Contains 371798 sequences. (Running on oeis4.)