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A317218 Number of nX4 0..1 arrays with every element unequal to 1, 2, 3, 4, 5, 7 or 8 king-move adjacent elements, with upper left element zero. 1

%I #4 Jul 23 2018 19:47:38

%S 2,98,929,11378,133874,1580822,18667993,220464927,2603595850,

%T 30747775232,363124145066,4288411243040,50645181305772,

%U 598108323160439,7063526805884734,83418689457119199,985156282402297041

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

%C Column 4 of A317222.

%H R. H. Hardin, <a href="/A317218/b317218.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 8*a(n-1) +55*a(n-2) -7*a(n-3) -1058*a(n-4) -2985*a(n-5) -1279*a(n-6) +9793*a(n-7) +17520*a(n-8) +5330*a(n-9) -19566*a(n-10) -25908*a(n-11) -7185*a(n-12) -564*a(n-13) -9536*a(n-14) -19332*a(n-15) +6487*a(n-16) +21190*a(n-17) +30134*a(n-18) +16147*a(n-19) +12181*a(n-20) +12100*a(n-21) +16204*a(n-22) +6817*a(n-23) -6982*a(n-24) -3114*a(n-25) -1986*a(n-26) +275*a(n-27) +44*a(n-28) for n>29

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A317222.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 23 2018

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Last modified April 19 17:39 EDT 2024. Contains 371797 sequences. (Running on oeis4.)