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A316416 Number of nX4 0..1 arrays with every element unequal to 0, 1, 2, 5, 6 or 8 king-move adjacent elements, with upper left element zero. 1

%I #4 Jul 02 2018 09:04:17

%S 8,9,27,93,287,1009,3496,11962,41160,142076,489828,1688040,5819002,

%T 20061466,69159010,238412640,821894454,2833376300,9767673768,

%U 33672696882,116082018872,400176917418,1379555120878,4755827350460,16395063986690

%N Number of nX4 0..1 arrays with every element unequal to 0, 1, 2, 5, 6 or 8 king-move adjacent elements, with upper left element zero.

%C Column 4 of A316420.

%H R. H. Hardin, <a href="/A316416/b316416.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-1) +6*a(n-2) -a(n-3) -a(n-4) -17*a(n-5) -40*a(n-6) +16*a(n-7) +42*a(n-8) +13*a(n-9) +39*a(n-10) +7*a(n-11) -47*a(n-12) -20*a(n-13) -4*a(n-14) -12*a(n-15) +10*a(n-16) +20*a(n-17) -4*a(n-18) -8*a(n-19) for n>23

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A316420.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 02 2018

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Last modified June 13 05:35 EDT 2024. Contains 373366 sequences. (Running on oeis4.)