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A298143 Number of nX5 0..1 arrays with every element equal to 2, 3, 6 or 7 king-move adjacent elements, with upper left element zero. 2

%I #4 Jan 13 2018 11:22:59

%S 0,8,1,13,34,57,73,174,350,800,1605,3376,7079,15234,32785,69934,

%T 148910,317566,680619,1456297,3114591,6655750,14238344,30459198,

%U 65161385,139374566,298140140,637775747,1364330204,2918587246,6243529255

%N Number of nX5 0..1 arrays with every element equal to 2, 3, 6 or 7 king-move adjacent elements, with upper left element zero.

%C Column 5 of A298146.

%H R. H. Hardin, <a href="/A298143/b298143.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-1) +a(n-2) -a(n-3) +6*a(n-4) -9*a(n-5) -15*a(n-6) +a(n-7) -11*a(n-8) +12*a(n-9) +38*a(n-10) +43*a(n-11) +14*a(n-12) -38*a(n-13) -61*a(n-14) -5*a(n-15) -3*a(n-17) +17*a(n-18) +19*a(n-19) -38*a(n-20) -62*a(n-21) +16*a(n-22) +37*a(n-23) -7*a(n-24) -a(n-25) +50*a(n-26) +35*a(n-27) +2*a(n-28) -15*a(n-29) -2*a(n-30) -3*a(n-32) -2*a(n-33) -2*a(n-34) for n>40

%e Some solutions for n=7

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

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

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

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

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

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

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

%Y Cf. A298146.

%K nonn

%O 1,2

%A _R. H. Hardin_, Jan 13 2018

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Last modified April 24 08:28 EDT 2024. Contains 371927 sequences. (Running on oeis4.)