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A297392 Number of nX5 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1 neighboring 1. 1

%I #4 Dec 29 2017 10:54:05

%S 6,33,127,700,3175,15541,74736,358341,1729617,8308924,40006463,

%T 192481249,926168176,4456879585,21445119255,103193473908,496552428929,

%U 2389355832929,11497320733428,55323763675221,266211857683333

%N Number of nX5 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1 neighboring 1.

%C Column 5 of A297395.

%H R. H. Hardin, <a href="/A297392/b297392.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +8*a(n-2) +27*a(n-3) +77*a(n-4) +164*a(n-5) -4*a(n-6) -124*a(n-7) -71*a(n-8) -231*a(n-9) -293*a(n-10) -114*a(n-11) -16*a(n-12) +2*a(n-13) +40*a(n-14) +98*a(n-15) +32*a(n-16) +16*a(n-17) +5*a(n-18) +a(n-19) -a(n-20)

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A297395.

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 29 2017

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Last modified April 24 12:22 EDT 2024. Contains 371937 sequences. (Running on oeis4.)