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A240456 Number of nX2 0..3 arrays with no element equal to one plus the sum of elements to its left or three plus the sum of elements above it or one plus the sum of the elements diagonally to its northwest, modulo 4 1

%I #5 Apr 05 2014 14:21:00

%S 4,21,102,476,2200,10123,46471,213000,975380,4464474,20429739,

%T 93474260,427645941,1956395954,8949898045,40942368765,187294120155,

%U 856787747966,3919414321141,17929510264717,82019155503670,375199231601451

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

%C Column 2 of A240460

%H R. H. Hardin, <a href="/A240456/b240456.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 8*a(n-1) -20*a(n-2) +34*a(n-3) -84*a(n-4) +92*a(n-5) -68*a(n-6) +222*a(n-7) +13*a(n-8) -251*a(n-9) +25*a(n-10) -495*a(n-11) +485*a(n-12) -44*a(n-13) -180*a(n-14) +554*a(n-15) -648*a(n-16) +14*a(n-17) +152*a(n-18) -190*a(n-19) -140*a(n-20) +397*a(n-21) -273*a(n-22) +75*a(n-23) +167*a(n-24) -136*a(n-25) +27*a(n-26)

%e Some solutions for n=4

%e ..2..0....2..0....0..2....2..2....0..0....2..2....2..2....2..0....0..2....2..2

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 05 2014

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Last modified June 3 09:08 EDT 2024. Contains 373057 sequences. (Running on oeis4.)