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 A297428 Number of nX5 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 2 neighboring 1s. 1

%I #4 Dec 30 2017 06:57:31

%S 1,18,43,105,535,1673,5108,19690,66529,219719,782043,2689834,9138448,

%T 31787848,109656609,376254515,1300385669,4486150451,15444407832,

%U 53285238222,183782980324,633397239002,2184333019339,7532734275806

%N Number of nX5 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 2 neighboring 1s.

%C Column 5 of A297431.

%H R. H. Hardin, <a href="/A297428/b297428.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-1) +2*a(n-2) +24*a(n-3) -22*a(n-4) -40*a(n-5) -163*a(n-6) -40*a(n-7) +76*a(n-8) +246*a(n-9) +160*a(n-10) -57*a(n-11) -115*a(n-12) -50*a(n-13) +18*a(n-14) +12*a(n-15) -33*a(n-16) +4*a(n-17) +5*a(n-18) +7*a(n-19) -3*a(n-20)

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A297431.

%K nonn

%O 1,2

%A _R. H. Hardin_, Dec 30 2017

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Last modified September 19 18:01 EDT 2024. Contains 376014 sequences. (Running on oeis4.)