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A280603 Number of nX7 0..1 arrays with no element equal to more than two of its horizontal, vertical and antidiagonal neighbors and with new values introduced in order 0 sequentially upwards. 1

%I #4 Jan 06 2017 11:31:07

%S 64,1063,1844,3996,8031,15792,31152,62349,126893,261994,546766,

%T 1149413,2427843,5143554,10917253,23198800,49332659,104956473,

%U 223368832,475481120,1012314087,2155517167,4590184433,9775585448,20820112373

%N Number of nX7 0..1 arrays with no element equal to more than two of its horizontal, vertical and antidiagonal neighbors and with new values introduced in order 0 sequentially upwards.

%C Column 7 of A280604.

%H R. H. Hardin, <a href="/A280603/b280603.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 5*a(n-1) -8*a(n-2) +4*a(n-3) +2*a(n-8) -2*a(n-9) -3*a(n-10) +5*a(n-11) -a(n-12) -a(n-13) -a(n-16) +a(n-17) for n>22

%e Some solutions for n=4

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

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

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

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

%Y Cf. A280604.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 06 2017

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Last modified April 16 07:57 EDT 2024. Contains 371698 sequences. (Running on oeis4.)