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A316689 Number of nX4 0..1 arrays with every element unequal to 0, 1, 2, 6, 7 or 8 king-move adjacent elements, with upper left element zero. 1

%I #4 Jul 10 2018 15:03:53

%S 8,5,9,23,44,125,313,773,1964,4948,12456,31393,79085,199281,502100,

%T 1265024,3187400,8030877,20234253,50981805,128452324,323644732,

%U 815446408,2054575929,5176652093,13042948233,32862647844,82799810200,208620089912

%N Number of nX4 0..1 arrays with every element unequal to 0, 1, 2, 6, 7 or 8 king-move adjacent elements, with upper left element zero.

%C Column 4 of A316693.

%H R. H. Hardin, <a href="/A316689/b316689.txt">Table of n, a(n) for n = 1..210</a>

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

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A316693.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 10 2018

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Last modified April 25 01:35 EDT 2024. Contains 371964 sequences. (Running on oeis4.)