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A281053 Number of nX5 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 16:56:39

%S 2,104,618,2452,7803,22106,58005,144283,344972,800225,1812024,4023754,

%T 8791481,18948288,40366695,85135873,177990242,369259703,760850914,

%U 1558181104,3173635543,6432024694,12977428633,26076680087,52202242904

%N Number of nX5 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 5 of A281056.

%H R. H. Hardin, <a href="/A281053/b281053.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 5*a(n-1) -6*a(n-2) -4*a(n-3) +5*a(n-4) +9*a(n-5) -12*a(n-7) -3*a(n-8) +3*a(n-9) +6*a(n-10) -a(n-12) -a(n-13) for n>16

%e Some solutions for n=4

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

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

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

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

%Y Cf. A281056.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 13 2017

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Last modified March 28 09:04 EDT 2024. Contains 371240 sequences. (Running on oeis4.)