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 A241278 Number of nX2 0..3 arrays with no element equal to one plus the sum of elements to its left or zero plus the sum of elements above it or one plus the sum of the elements diagonally to its northwest or one plus the sum of the elements antidiagonally to its northeast, modulo 4 1

%I

%S 3,3,9,36,139,532,2111,8473,34053,136880,550213,2211810,8891567,

%T 35744766,143696235,577666729,2322248891,9335550407,37529342193,

%U 150869654682,606502776180,2438168211361,9801544653549,39402644818707,158400380771179

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

%C Column 2 of A241283

%H R. H. Hardin, <a href="/A241278/b241278.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 8*a(n-1) -20*a(n-2) +16*a(n-3) +4*a(n-4) -25*a(n-5) +53*a(n-6) -68*a(n-7) +100*a(n-8) -62*a(n-9) -41*a(n-10) +34*a(n-11) -117*a(n-12) +108*a(n-13) -54*a(n-14) +93*a(n-15) +41*a(n-16) +20*a(n-17) +8*a(n-18) -41*a(n-19) -26*a(n-20) -41*a(n-21) +9*a(n-22) +5*a(n-23) +2*a(n-24) +4*a(n-25) -13*a(n-26) +4*a(n-27) -3*a(n-28) -2*a(n-29) +4*a(n-30) +a(n-31)

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 18 2014

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Last modified June 1 04:57 EDT 2020. Contains 334758 sequences. (Running on oeis4.)