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A304772 Number of nX5 0..1 arrays with every element unequal to 0, 1, 2, 3 or 7 king-move adjacent elements, with upper left element zero. 1

%I #4 May 18 2018 08:12:58

%S 16,120,139,443,1581,5060,15349,50030,160513,515542,1670115,5376672,

%T 17346725,55998720,180570241,582651967,1879783901,6063962633,

%U 19564352043,63116727780,203622739528,656925290314,2119330163412,6837291061530

%N Number of nX5 0..1 arrays with every element unequal to 0, 1, 2, 3 or 7 king-move adjacent elements, with upper left element zero.

%C Column 5 of A304775.

%H R. H. Hardin, <a href="/A304772/b304772.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 4*a(n-1) -4*a(n-2) +11*a(n-3) -29*a(n-4) +47*a(n-5) -79*a(n-6) +95*a(n-7) -99*a(n-8) +108*a(n-9) -43*a(n-10) -25*a(n-11) +69*a(n-12) -154*a(n-13) +158*a(n-14) -144*a(n-15) +133*a(n-16) -42*a(n-17) +5*a(n-19) -31*a(n-20) +45*a(n-21) -36*a(n-22) +6*a(n-23) +10*a(n-24) -4*a(n-25) for n>28

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A304775.

%K nonn

%O 1,1

%A _R. H. Hardin_, May 18 2018

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Last modified April 23 16:40 EDT 2024. Contains 371916 sequences. (Running on oeis4.)