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 A297579 Number of nX5 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1 or 4 neighboring 1s. 1

%I #4 Jan 01 2018 11:09:47

%S 6,39,188,1017,5800,31171,171543,945046,5175491,28425138,156104665,

%T 856754888,4703782455,25823973877,141766379306,778286514143,

%U 4272707870336,23456587740397,128773952953874,706953473963971

%N Number of nX5 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1 or 4 neighboring 1s.

%C Column 5 of A297582.

%H R. H. Hardin, <a href="/A297579/b297579.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-1) +8*a(n-2) +65*a(n-3) +24*a(n-4) -109*a(n-5) -708*a(n-6) -460*a(n-7) +1188*a(n-8) +1178*a(n-9) +1813*a(n-10) -509*a(n-11) -2484*a(n-12) -3623*a(n-13) -998*a(n-14) +974*a(n-15) +4136*a(n-16) +3611*a(n-17) +746*a(n-18) -1268*a(n-19) -2677*a(n-20) -2205*a(n-21) -330*a(n-22) +30*a(n-23) +347*a(n-24) +205*a(n-25) -45*a(n-26) +46*a(n-27) +66*a(n-28) +8*a(n-29) -8*a(n-30)

%e Some solutions for n=7

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

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

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

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

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

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

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

%Y Cf. A297582.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 01 2018

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Last modified February 24 07:07 EST 2024. Contains 370294 sequences. (Running on oeis4.)