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Number of (n+1)X6 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
0

%I #4 Mar 31 2012 12:35:56

%S 4434,9945,235003,4086234,91203410,1530840869,25951449861,

%T 378836704735,5421933385547,70790071870211,908625271297609,

%U 10965432938482878,129231185861933066,1437619815424773671

%N Number of (n+1)X6 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 5 of A184095

%e Some solutions for 3X6

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

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

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

%e ...

%e ...6..7..6..6..7.......6..6..7..8..7.......5..5..6..6..7.......4..5..6..5..6...

%e ...7..7..6..6..6.......7..7..7..7..7.......6..5..6..6..6.......5..5..5..5..5...

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 09 2011