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A281052 Number of nX4 0..1 arrays with no element equal to more than one of its horizontal and antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards. 1

%I

%S 1,34,239,1022,3416,10112,27635,71419,177320,426696,1002035,2306828,

%T 5224307,11669686,25762564,56301813,121961820,262154625,559637795,

%U 1187392495,2505484374,5260557953,10995496220,22888340830,47465895442

%N Number of nX4 0..1 arrays with no element equal to more than one of its horizontal and antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards.

%C Column 4 of A281056.

%H R. H. Hardin, <a href="/A281052/b281052.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 3*a(n-1) +3*a(n-2) -11*a(n-3) -9*a(n-4) +18*a(n-5) +17*a(n-6) -12*a(n-7) -15*a(n-8) +3*a(n-9) +6*a(n-10) -a(n-12) for n>14

%e Some solutions for n=4

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

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

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

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

%Y Cf. A281056.

%K nonn

%O 1,2

%A _R. H. Hardin_, Jan 13 2017

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Last modified October 1 07:28 EDT 2022. Contains 357135 sequences. (Running on oeis4.)