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A297222 Number of nX6 0..1 arrays with every 1 horizontally or antidiagonally adjacent to 1 neighboring 1s. 1

%I #4 Dec 27 2017 15:36:34

%S 9,69,535,4210,33158,261939,2063378,16277793,128351805,1012130530,

%T 7981569963,62939687472,496326792470,3913894569563,30863877179841,

%U 243384068190066,1919259204181410,15134747411461711,119348431276698530

%N Number of nX6 0..1 arrays with every 1 horizontally or antidiagonally adjacent to 1 neighboring 1s.

%C Column 6 of A297224.

%H R. H. Hardin, <a href="/A297222/b297222.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +34*a(n-2) +146*a(n-3) +141*a(n-4) -184*a(n-5) -461*a(n-6) +413*a(n-7) -498*a(n-8) -119*a(n-9) +408*a(n-10) +144*a(n-11) for n>13

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A297224.

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 27 2017

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Last modified March 28 09:04 EDT 2024. Contains 371240 sequences. (Running on oeis4.)