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A204033 Number of (n+1)X3 0..1 arrays with the sums of 2X2 subblocks nondecreasing rightwards and downwards 1

%I

%S 44,164,603,1758,5130,13040,33223,77574,181559,401370,889157,1896644,

%T 4052667,8444892,17621165,36165014,74299430,151007392,307137335,

%U 620376066,1253727656,2522563936,5077320907,10191401694,20461362545

%N Number of (n+1)X3 0..1 arrays with the sums of 2X2 subblocks nondecreasing rightwards and downwards

%C Column 2 of A204039

%H R. H. Hardin, <a href="/A204033/b204033.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 4*a(n-1) +8*a(n-2) -50*a(n-3) -9*a(n-4) +270*a(n-5) -128*a(n-6) -820*a(n-7) +709*a(n-8) +1520*a(n-9) -1824*a(n-10) -1722*a(n-11) +2797*a(n-12) +1070*a(n-13) -2696*a(n-14) -160*a(n-15) +1608*a(n-16) -240*a(n-17) -544*a(n-18) +160*a(n-19) +80*a(n-20) -32*a(n-21)

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 09 2012

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Last modified May 23 11:27 EDT 2022. Contains 353975 sequences. (Running on oeis4.)