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A239420 Number of nX2 0..3 arrays with no element equal to the sum of elements to its left or the sum of elements above it or the sum of the elements diagonally to its northwest, modulo 4 1

%I #5 Mar 17 2014 21:00:07

%S 6,18,80,320,1244,4990,19560,77220,304224,1197958,4717332,18575316,

%T 73129198,287925250,1133540066,4462693994,17569294396,69168560346,

%U 272309851366,1072054712756,4220563726184,16615895170312,65414941885872

%N Number of nX2 0..3 arrays with no element equal to the sum of elements to its left or the sum of elements above it or the sum of the elements diagonally to its northwest, modulo 4

%C Column 2 of A239424

%H R. H. Hardin, <a href="/A239420/b239420.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-1) +11*a(n-2) -a(n-3) -39*a(n-4) -40*a(n-5) +3*a(n-6) +13*a(n-7) +64*a(n-8) +162*a(n-9) -220*a(n-10) +122*a(n-11) -38*a(n-12) -82*a(n-13) +60*a(n-14) for n>15

%e Some solutions for n=5

%e ..1..2....2..1....1..3....1..2....1..2....2..3....3..1....1..3....1..3....2..3

%e ..3..0....1..0....3..0....2..0....2..3....1..0....1..0....3..2....3..0....1..0

%e ..3..1....1..2....3..0....1..0....2..0....1..0....2..0....3..2....2..0....1..0

%e ..2..0....3..0....1..2....1..0....3..0....2..0....1..0....1..2....3..1....3..0

%e ..2..0....1..2....2..0....2..3....1..2....3..1....1..0....1..2....3..2....2..1

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 17 2014

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Last modified May 12 20:41 EDT 2024. Contains 372494 sequences. (Running on oeis4.)