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 A297223 Number of nX7 0..1 arrays with every 1 horizontally or antidiagonally adjacent to 1 neighboring 1s. 1

%I #4 Dec 27 2017 15:37:16

%S 13,145,1513,16658,178469,1918732,20599895,221333623,2377449633,

%T 25538644681,274338521973,2946944060015,31656188524253,

%U 340051734132151,3652845905487029,39238984432264619,421506370243881833

%N Number of nX7 0..1 arrays with every 1 horizontally or antidiagonally adjacent to 1 neighboring 1s.

%C Column 7 of A297224.

%H R. H. Hardin, <a href="/A297223/b297223.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +60*a(n-2) +410*a(n-3) +804*a(n-4) -206*a(n-5) -4210*a(n-6) -136*a(n-7) -4099*a(n-8) -6059*a(n-9) +20146*a(n-10) +14506*a(n-11) -16052*a(n-12) +4656*a(n-13) -228*a(n-14) -100*a(n-15) +12*a(n-16) for n>21

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A297224.

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 27 2017

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Last modified December 10 09:31 EST 2023. Contains 367710 sequences. (Running on oeis4.)