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A303316 Number of 4Xn 0..1 arrays with every element equal to 0, 1, 4, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. 1

%I #4 Apr 21 2018 12:49:55

%S 8,6,11,36,50,128,439,1085,2431,6452,17455,43514,108524,281615,726261,

%T 1839731,4685152,12025643,30754258,78396104,200278695,512290781,

%U 1308785863,3342222476,8540451095,21826102586,55761123412,142456533311

%N Number of 4Xn 0..1 arrays with every element equal to 0, 1, 4, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

%C Row 4 of A303314.

%H R. H. Hardin, <a href="/A303316/b303316.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +a(n-2) +5*a(n-3) +9*a(n-4) -3*a(n-5) -7*a(n-6) -2*a(n-7) for n>11

%e Some solutions for n=5

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

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

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

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

%Y Cf. A303314.

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 21 2018

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