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A297602 Number of nX3 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 0, 1 or 3 neighboring 1s. 1

%I #4 Jan 01 2018 14:49:57

%S 7,35,181,953,4997,26155,137033,717905,3760657,19700359,103201589,

%T 540625665,2832090849,14836035579,77719229889,407135626281,

%U 2132798039801,11172757117047,58528983567693,306606675825193,1606172667510097

%N Number of nX3 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 0, 1 or 3 neighboring 1s.

%C Column 3 of A297607.

%H R. H. Hardin, <a href="/A297602/b297602.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 5*a(n-1) -a(n-2) +19*a(n-3) -36*a(n-4) -62*a(n-6) +62*a(n-7) +24*a(n-8) +4*a(n-9) -40*a(n-10) -32*a(n-11)

%e Some solutions for n=7

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

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

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

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

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

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

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

%Y Cf. A297607.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 01 2018

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Last modified June 23 20:00 EDT 2024. Contains 373653 sequences. (Running on oeis4.)