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A241357 Number of 2Xn 0..3 arrays with no element equal to zero plus the sum of elements to its left or one plus the sum of the elements above it or one plus the sum of the elements diagonally to its northwest or zero plus the sum of the elements antidiagonally to its northeast, modulo 4 1

%I #4 Apr 20 2014 10:26:11

%S 3,3,9,17,23,53,103,160,344,643,1059,2196,4039,6930,13970,25512,45059,

%T 88830,161841,291573,565051,1029968,1879844,3596548,6568902,12087395,

%U 22908471,41950860,77573588,146021963,268115989,497179651,931373038

%N Number of 2Xn 0..3 arrays with no element equal to zero plus the sum of elements to its left or one plus the sum of the elements above it or one plus the sum of the elements diagonally to its northwest or zero plus the sum of the elements antidiagonally to its northeast, modulo 4

%C Row 2 of A241356

%H R. H. Hardin, <a href="/A241357/b241357.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-2) +8*a(n-3) -5*a(n-5) -18*a(n-6) +a(n-7) +10*a(n-8) +16*a(n-9) -5*a(n-10) -10*a(n-11) +a(n-12) +6*a(n-13) -2*a(n-14) -6*a(n-15) -a(n-16) +6*a(n-17) for n>20

%e Some solutions for n=4

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 20 2014

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Last modified April 19 11:14 EDT 2024. Contains 371791 sequences. (Running on oeis4.)