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A300939 Number of nX3 0..1 arrays with every element equal to 0, 1, 3, 4 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. 1

%I #4 Mar 16 2018 09:03:43

%S 3,2,5,12,19,47,101,206,411,882,1851,3845,7965,16694,34883,72716,

%T 151521,316419,660399,1377674,2873815,5997158,12513837,26109233,

%U 54474709,113665030,237165643,494844028,1032487175,2154302515,4494977409

%N Number of nX3 0..1 arrays with every element equal to 0, 1, 3, 4 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

%C Column 3 of A300944.

%H R. H. Hardin, <a href="/A300939/b300939.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-1) +3*a(n-2) -5*a(n-3) -2*a(n-4) -3*a(n-5) -a(n-6) +22*a(n-7) +7*a(n-8) -33*a(n-9) -28*a(n-10) +11*a(n-11) +50*a(n-12) +40*a(n-13) -50*a(n-14) -82*a(n-15) +3*a(n-16) +96*a(n-17) +79*a(n-18) -49*a(n-19) -85*a(n-20) -9*a(n-21) +46*a(n-22) +55*a(n-23) +17*a(n-24) -28*a(n-25) -31*a(n-26) -11*a(n-27) +a(n-28) +5*a(n-29) +4*a(n-30) +a(n-31) for n>32

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A300944.

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 16 2018

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Last modified February 23 13:42 EST 2024. Contains 370283 sequences. (Running on oeis4.)