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A204611 Number of (n+1)X4 0..1 arrays with the determinants of 2X2 subblocks nondecreasing rightwards and downwards 1

%I #5 Mar 31 2012 12:37:02

%S 125,749,4901,31805,205117,1322417,8522985,54938417,354134921,

%T 2282874145,14716407353,94869591953,611581623337,3942604144385,

%U 25416311360025,163848400648049,1056262956080393,6809292269424865,43896707048892665

%N Number of (n+1)X4 0..1 arrays with the determinants of 2X2 subblocks nondecreasing rightwards and downwards

%C Column 3 of A204616

%H R. H. Hardin, <a href="/A204611/b204611.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 9*a(n-1) -8*a(n-2) -72*a(n-3) +96*a(n-4) +128*a(n-5) -128*a(n-6) -64*a(n-7) for n>10

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 17 2012

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Last modified April 19 09:23 EDT 2024. Contains 371782 sequences. (Running on oeis4.)