A281059 - OEIS

A281059

Number of 4Xn 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.

%I #4 Jan 13 2017 17:01:10

%S 0,29,376,1022,2452,5400,10570,19892,36616,66354,118926,211382,373266,

%T 655580,1146156,1995858,3463242,5990498,10332426,17775144,30506480,

%U 52242450,89285638,152311246,259377954,440998484,748670868,1269219570

%N Number of 4Xn 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 Row 4 of A281056.

%H R. H. Hardin, <a href="/A281059/b281059.txt">Table of n, a(n) for n = 1..210</a>

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

%e Some solutions for n=4

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

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

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

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

%Y Cf. A281056.

%K nonn

%O 1,2

%A _R. H. Hardin_, Jan 13 2017