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A283516 Number of nX2 0..1 arrays with no 1 equal to more than three of its horizontal, vertical and antidiagonal neighbors, with the exception of exactly two elements. 1

%I #5 Mar 09 2017 18:23:59

%S 0,0,1,5,28,145,703,3288,14980,66958,294864,1283142,5529698,23637592,

%T 100350059,423511851,1778210188,7432635711,30943479193,128365649488,

%U 530810149910,2188638842860,9000532494016,36925016172060,151153394192532

%N Number of nX2 0..1 arrays with no 1 equal to more than three of its horizontal, vertical and antidiagonal neighbors, with the exception of exactly two elements.

%C Column 2 of A283522.

%H R. H. Hardin, <a href="/A283516/b283516.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 9*a(n-1) -18*a(n-2) -24*a(n-3) +39*a(n-4) +75*a(n-5) +69*a(n-6) +93*a(n-7) +99*a(n-8) +67*a(n-9) +45*a(n-10) +33*a(n-11) +16*a(n-12) +6*a(n-13) +3*a(n-14) +a(n-15)

%e All solutions for n=4

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

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

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

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

%Y Cf. A283522.

%K nonn

%O 1,4

%A _R. H. Hardin_, Mar 09 2017

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Last modified April 25 09:49 EDT 2024. Contains 371967 sequences. (Running on oeis4.)