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 A240279 Number of nX2 0..3 arrays with no element equal to one plus the sum of elements to its left or two plus the sum of elements above it or zero plus the sum of the elements diagonally to its northwest, modulo 4 1

%I #5 Apr 03 2014 15:44:27

%S 2,8,19,38,114,251,612,1656,3758,9630,24258,57548,146898,360946,

%T 880960,2217967,5429271,13419200,33424298,82079277,203571196,

%U 504206276,1242741927,3081338174,7616293969,18815746878,46600839533,115150972966

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

%C Column 2 of A240284

%H R. H. Hardin, <a href="/A240279/b240279.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 3*a(n-2) +10*a(n-3) -3*a(n-4) -6*a(n-5) -3*a(n-6) +8*a(n-7) -7*a(n-8) -9*a(n-9) -4*a(n-10) +13*a(n-11) -14*a(n-12) +17*a(n-13) -a(n-15)

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 03 2014

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Last modified February 26 15:44 EST 2024. Contains 370352 sequences. (Running on oeis4.)