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A297597 Number of 4Xn 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1 or 5 neighboring 1s. 1

%I #4 Jan 01 2018 12:10:04

%S 1,20,69,154,752,3145,10131,37929,150388,546267,2000770,7586016,

%T 28281649,104554687,390572927,1458526512,5423019339,20199712660,

%U 75329388620,280578366045,1045017557629,3894288535989,14509490578040,54051253212923

%N Number of 4Xn 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1 or 5 neighboring 1s.

%C Row 4 of A297595.

%H R. H. Hardin, <a href="/A297597/b297597.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +3*a(n-2) +24*a(n-3) +23*a(n-4) -17*a(n-5) -95*a(n-6) -73*a(n-7) -45*a(n-8) -36*a(n-9) +4*a(n-10) -4*a(n-11) +2*a(n-12)

%e Some solutions for n=7

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

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

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

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

%Y Cf. A297595.

%K nonn

%O 1,2

%A _R. H. Hardin_, Jan 01 2018

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Last modified April 23 12:59 EDT 2024. Contains 371913 sequences. (Running on oeis4.)