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A239651 Number of 3Xn 0..3 arrays with no element equal to zero plus the sum of elements to its left or two plus the sum of the elements above it, modulo 4 1

%I #4 Mar 23 2014 07:05:27

%S 10,112,1182,12246,127454,1320102,13703468,142051652,1473731150,

%T 15282171258,158517866826,1643986061990,17051506678146,

%U 176848369394606,1834236131924494,19023918997995414,197310588661661646

%N Number of 3Xn 0..3 arrays with no element equal to zero plus the sum of elements to its left or two plus the sum of the elements above it, modulo 4

%C Row 3 of A239649

%H R. H. Hardin, <a href="/A239651/b239651.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 8*a(n-1) +73*a(n-2) -446*a(n-3) -1413*a(n-4) +8070*a(n-5) +12185*a(n-6) -63420*a(n-7) -49358*a(n-8) +220534*a(n-9) +39486*a(n-10) -241802*a(n-11) +244780*a(n-12) -89648*a(n-13) -386680*a(n-14) -228008*a(n-15) +129984*a(n-16) -457816*a(n-17) -1064416*a(n-18) -330768*a(n-19) +556128*a(n-20) -351872*a(n-21) +769280*a(n-22) +407552*a(n-23) -200704*a(n-24) +32768*a(n-25)

%e Some solutions for n=5

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 23 2014

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Last modified March 29 05:16 EDT 2024. Contains 371264 sequences. (Running on oeis4.)