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A300338 Number of nX4 0..1 arrays with every element equal to 0, 2, 3, 4, 5, 6, 7 or 8 king-move adjacent elements, with upper left element zero. 1

%I #4 Mar 03 2018 08:16:09

%S 1,42,255,2648,25327,258608,2697270,28350215,300252749,3187041789,

%T 33886049486,360550572581,3837755793404,40857711948426,

%U 435022945285851,4632037300434143,49322222657543281,525192734699585056

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

%C Column 4 of A300342.

%H R. H. Hardin, <a href="/A300338/b300338.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 11*a(n-1) +27*a(n-2) -274*a(n-3) -863*a(n-4) +2414*a(n-5) +8244*a(n-6) -3307*a(n-7) -26579*a(n-8) -3217*a(n-9) +28660*a(n-10) -8776*a(n-11) -19574*a(n-12) +38521*a(n-13) +29050*a(n-14) -17027*a(n-15) -16100*a(n-16) +3436*a(n-17) +11990*a(n-18) -27076*a(n-19) +4662*a(n-20) +20289*a(n-21) -16360*a(n-22) +1122*a(n-23) +2872*a(n-24) -600*a(n-25) for n>26

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A300342.

%K nonn

%O 1,2

%A _R. H. Hardin_, Mar 03 2018

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Last modified March 28 20:05 EDT 2024. Contains 371254 sequences. (Running on oeis4.)