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A317461 Number of nX4 0..1 arrays with every element unequal to 2, 3, 4, 5, 6, 7 or 8 king-move adjacent elements, with upper left element zero. 1

%I #4 Jul 28 2018 20:59:17

%S 0,18,107,1429,16809,203786,2461839,29797355,360606527,4364496811,

%T 52825184177,639366642815,7738549997408,93663310571938,

%U 1133651240708258,13721116612293827,166073160483093122,2010061975098663581

%N Number of nX4 0..1 arrays with every element unequal to 2, 3, 4, 5, 6, 7 or 8 king-move adjacent elements, with upper left element zero.

%C Column 4 of A317465.

%H R. H. Hardin, <a href="/A317461/b317461.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 9*a(n-1) +38*a(n-2) +50*a(n-3) -488*a(n-4) -2049*a(n-5) -2146*a(n-6) +3438*a(n-7) +15496*a(n-8) +15335*a(n-9) -3611*a(n-10) -24529*a(n-11) -21899*a(n-12) +3894*a(n-13) +16022*a(n-14) -45*a(n-15) -19486*a(n-16) -16352*a(n-17) +4936*a(n-18) +14225*a(n-19) +7338*a(n-20) +486*a(n-21) +107*a(n-22) +1478*a(n-23) +54*a(n-24) -1044*a(n-25) -384*a(n-26) +112*a(n-27) +64*a(n-28) for n>29

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A317465.

%K nonn

%O 1,2

%A _R. H. Hardin_, Jul 28 2018

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Last modified April 25 16:45 EDT 2024. Contains 371989 sequences. (Running on oeis4.)