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A297598 Number of 5Xn 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1 or 5 neighboring 1s. 1

%I #4 Jan 01 2018 12:10:44

%S 1,41,205,577,3747,23066,103673,514290,2834897,14505899,72679629,

%T 377711106,1958960586,10014143622,51449828843,265527351855,

%U 1365723938126,7018444981802,36127198341369,185940488937815,956389182435753

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

%C Row 5 of A297595.

%H R. H. Hardin, <a href="/A297598/b297598.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +4*a(n-2) +69*a(n-3) +140*a(n-4) +75*a(n-5) -819*a(n-6) -2333*a(n-7) -3025*a(n-8) +2643*a(n-9) +10976*a(n-10) +11484*a(n-11) +8292*a(n-12) -9866*a(n-13) -21676*a(n-14) -50620*a(n-15) -23742*a(n-16) +4580*a(n-17) +75360*a(n-18) +31530*a(n-19) +13258*a(n-20) -56614*a(n-21) -22102*a(n-22) -18586*a(n-23) +348*a(n-24) -4914*a(n-25) -882*a(n-26)

%e Some solutions for n=7

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

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

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

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

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

%Y Cf. A297595.

%K nonn

%O 1,2

%A _R. H. Hardin_, Jan 01 2018

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Last modified April 19 15:11 EDT 2024. Contains 371794 sequences. (Running on oeis4.)