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 A278282 Number of 3Xn 0..1 arrays with every element both equal and not equal to some elements at offset (-1,-1) (-1,0) (-1,1) (0,-1) (0,1) or (1,0), with upper left element zero. 1

%I #4 Nov 16 2016 12:12:13

%S 0,5,25,122,661,3723,20736,115446,643201,3583987,19968771,111259772,

%T 619906272,3453935575,19244300244,107223525884,597417624393,

%U 3328633543713,18546157153693,103333677917171,575744553924121

%N Number of 3Xn 0..1 arrays with every element both equal and not equal to some elements at offset (-1,-1) (-1,0) (-1,1) (0,-1) (0,1) or (1,0), with upper left element zero.

%C Row 3 of A278280.

%H R. H. Hardin, <a href="/A278282/b278282.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 3*a(n-1) +14*a(n-2) +3*a(n-3) -a(n-4) -20*a(n-5) -65*a(n-6) +20*a(n-7) +53*a(n-8) +10*a(n-9) +55*a(n-10) +12*a(n-11) -3*a(n-12) +13*a(n-13) -8*a(n-14) +3*a(n-15) -a(n-16)

%e Some solutions for n=4

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

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

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

%Y Cf. A278280.

%K nonn

%O 1,2

%A _R. H. Hardin_, Nov 16 2016

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Last modified December 9 20:47 EST 2023. Contains 367695 sequences. (Running on oeis4.)