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A281062 Number of 7Xn 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 #4 Jan 13 2017 17:03:24

%S 0,1686,15028,27635,58005,119205,221212,394884,689397,1191475,2050466,

%T 3523654,6051629,10389370,17827528,30568529,52364160,89595493,

%U 153099429,261254732,445190263,757565887,1287362382,2184769552,3703030677

%N Number of 7Xn 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 7 of A281056.

%H R. H. Hardin, <a href="/A281062/b281062.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>20

%e Some solutions for n=4

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

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

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

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

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

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

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

%Y Cf. A281056.

%K nonn

%O 1,2

%A _R. H. Hardin_, Jan 13 2017

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Last modified April 24 18:17 EDT 2024. Contains 371962 sequences. (Running on oeis4.)