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A317514 Number of nX5 0..1 arrays with every element unequal to 0, 1, 2, 3, 4, 5, 6 or 7 king-move adjacent elements, with upper left element zero. 1

%I #4 Jul 30 2018 11:29:10

%S 16,512,16193,512096,16198017,512358002,16206294085,512618027974,

%T 16214518668763,512878209047100,16222748416081381,513138522010061984,

%U 16230982323203400539,513398967094466982056,16239220409770473726471

%N Number of nX5 0..1 arrays with every element unequal to 0, 1, 2, 3, 4, 5, 6 or 7 king-move adjacent elements, with upper left element zero.

%C Column 5 of A317517.

%H R. H. Hardin, <a href="/A317514/b317514.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 31*a(n-1) -3*a(n-2) +708*a(n-3) +474*a(n-4) +2957*a(n-5) +2350*a(n-6) -1836*a(n-7) -1440*a(n-8)

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A317517.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 30 2018

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Last modified March 28 14:38 EDT 2024. Contains 371254 sequences. (Running on oeis4.)