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A296958 Number of nX3 0..1 arrays with each 1 adjacent to 2, 3 or 5 king-move neighboring 1s. 1

%I #4 Dec 22 2017 11:36:23

%S 1,16,60,177,869,3994,16348,71669,320252,1397642,6126487,27033698,

%T 118937813,522957359,2302293383,10134259558,44597178254,196288034748,

%U 863967834742,3802581182754,16736484491069,73664164496629

%N Number of nX3 0..1 arrays with each 1 adjacent to 2, 3 or 5 king-move neighboring 1s.

%C Column 3 of A296963.

%H R. H. Hardin, <a href="/A296958/b296958.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 6*a(n-1) -10*a(n-2) +35*a(n-3) -116*a(n-4) +105*a(n-5) -196*a(n-6) +548*a(n-7) -320*a(n-8) +279*a(n-9) -955*a(n-10) +520*a(n-11) +159*a(n-12) +545*a(n-13) -530*a(n-14) -236*a(n-15) +188*a(n-16) +22*a(n-17) +6*a(n-18) -40*a(n-19) +25*a(n-20) -2*a(n-21)

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A296963.

%K nonn

%O 1,2

%A _R. H. Hardin_, Dec 22 2017

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Last modified July 20 08:27 EDT 2024. Contains 374442 sequences. (Running on oeis4.)