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A297583 Number of 2 X n 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1 or 4 neighboring 1s. 1

%I #8 Mar 01 2019 06:20:43

%S 1,5,11,17,39,93,183,373,823,1741,3599,7637,16247,34125,71871,152133,

%T 321127,676861,1429135,3017909,6367607,13437869,28367775,59874021,

%U 126360711,266707549,562939183,1188130069,2507681687,5292853517

%N Number of 2 X n 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1 or 4 neighboring 1s.

%H R. H. Hardin, <a href="/A297583/b297583.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) + 4*a(n-3) + 2*a(n-4).

%F Empirical g.f.: x*(1 + 4*x + 6*x^2 + 2*x^3) / (1 - x - 4*x^3 - 2*x^4). - _Colin Barker_, Mar 01 2019

%e Some solutions for n=7:

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

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

%Y Row 2 of A297582.

%K nonn

%O 1,2

%A _R. H. Hardin_, Jan 01 2018

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Last modified April 18 02:22 EDT 2024. Contains 371767 sequences. (Running on oeis4.)