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A184088 Number of (n+1)X3 0..3 arrays with rows and columns in nondecreasing order and with no 2X2 subblock sum differing from a horizontal or vertical neighbor subblock sum by more than one 1

%I #5 Mar 31 2012 12:35:56

%S 216,260,1146,2848,9945,28434,87119,254174,732978,2062353,5663089,

%T 15156140,39373663,99199976,241889509,570721800,1303028175,2880190406,

%U 6168364480,12813006924,25845550887,50691467373,96800121980,180213143357

%N Number of (n+1)X3 0..3 arrays with rows and columns in nondecreasing order and with no 2X2 subblock sum differing from a horizontal or vertical neighbor subblock sum by more than one

%C Column 2 of A184095

%H R. H. Hardin, <a href="/A184088/b184088.txt">Table of n, a(n) for n = 1..200</a>

%e Some solutions for 4X3

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

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

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

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

%e ...

%e ...9.10.......1..2.......6..7.......5..6.......5..6.......3..4.......6..7...

%e ..10.11.......2..2.......6..6.......6..5.......5..5.......4..5.......6..7...

%e ..11.10.......3..2.......6..6.......6..6.......6..6.......5..6.......6..7...

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 09 2011

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Last modified April 24 10:00 EDT 2024. Contains 371935 sequences. (Running on oeis4.)