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A281536 Number of nX4 0..2 arrays with no element equal to more than one of its king-move neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards. 1

%I

%S 1,104,2919,15624,52529,146956,385284,979866,2440042,5946178,14218134,

%T 33491002,77932633,179450414,409349989,926267006,2081273523,

%U 4647417316,10319376525,22798153410,50137931781,109808283414,239585399751

%N Number of nX4 0..2 arrays with no element equal to more than one of its king-move neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards.

%C Column 4 of A281540.

%H R. H. Hardin, <a href="/A281536/b281536.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 3*a(n-1) -2*a(n-3) -3*a(n-5) -32*a(n-6) +12*a(n-7) +39*a(n-8) +25*a(n-9) +45*a(n-10) +117*a(n-11) -91*a(n-12) -192*a(n-13) -57*a(n-14) -60*a(n-15) -255*a(n-16) +138*a(n-17) +368*a(n-18) +9*a(n-19) -24*a(n-20) +441*a(n-21) +42*a(n-22) -504*a(n-23) -84*a(n-24) +252*a(n-25) -222*a(n-26) -276*a(n-27) +216*a(n-28) +180*a(n-29) -112*a(n-30) -36*a(n-31) +96*a(n-32) -48*a(n-34) +8*a(n-36) for n>50

%e Some solutions for n=4

%e ..0..1..2..1. .0..1..0..0. .0..0..1..0. .0..1..2..2. .0..1..1..1

%e ..2..0..1..0. .2..2..2..1. .2..1..2..2. .2..0..1..1. .2..0..0..2

%e ..2..1..2..1. .0..1..1..0. .0..1..0..0. .2..1..2..0. .2..1..2..1

%e ..0..1..0..0. .0..2..0..1. .2..1..2..1. .1..0..1..2. .1..0..0..1

%Y Cf. A281540.

%K nonn

%O 1,2

%A _R. H. Hardin_, Jan 23 2017

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Last modified December 3 02:56 EST 2020. Contains 338899 sequences. (Running on oeis4.)