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A301322 Number of nX7 0..1 arrays with every element equal to 0, 1, 2, 5 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. 1

%I

%S 64,1063,1844,3996,8035,15802,31172,62375,126931,262036,546825,

%T 1149471,2427928,5143628,10917376,23198890,49332845,104956579,

%U 223369135,475481242,1012314623,2155517305,4590185451,9775585602,20820114408

%N Number of nX7 0..1 arrays with every element equal to 0, 1, 2, 5 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

%C Column 7 of A301323.

%H R. H. Hardin, <a href="/A301322/b301322.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 5*a(n-1) -7*a(n-2) -a(n-3) +10*a(n-4) -14*a(n-5) +17*a(n-6) -13*a(n-7) +10*a(n-8) -6*a(n-9) -5*a(n-10) +7*a(n-11) -2*a(n-12) -2*a(n-13) +5*a(n-14) -7*a(n-15) +4*a(n-16) -2*a(n-17) +2*a(n-18) +2*a(n-20) -2*a(n-21) +a(n-22) -a(n-23) for n>28

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A301323.

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 18 2018

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Last modified October 27 23:01 EDT 2020. Contains 338045 sequences. (Running on oeis4.)