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A318341 Number of nX6 0..1 arrays with every element unequal to 0, 1, 2 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. 1

%I #4 Aug 24 2018 11:03:35

%S 32,89,160,343,1115,4133,16267,66070,270320,1112195,4584060,18912384,

%T 78063418,322286580,1330722690,5494862763,22690219542,93697259411,

%U 386917457753,1597759628888,6597895365718,27245818039527,112510877313046

%N Number of nX6 0..1 arrays with every element unequal to 0, 1, 2 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

%C Column 6 of A318343.

%H R. H. Hardin, <a href="/A318341/b318341.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 4*a(n-1) +9*a(n-2) -28*a(n-3) -57*a(n-4) +78*a(n-5) +199*a(n-6) -73*a(n-7) -366*a(n-8) -89*a(n-9) +336*a(n-10) +298*a(n-11) -42*a(n-12) -362*a(n-13) -234*a(n-14) +215*a(n-15) +227*a(n-16) +16*a(n-17) -99*a(n-18) -65*a(n-19) +7*a(n-20) +27*a(n-21) +4*a(n-22) -4*a(n-23) for n>27

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A318343.

%K nonn

%O 1,1

%A _R. H. Hardin_, Aug 24 2018

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Last modified April 19 04:29 EDT 2024. Contains 371782 sequences. (Running on oeis4.)