A185771
Number of (n+1) X 2 0..2 arrays with no 2 X 2 subblock sum equal to any horizontal or vertical neighbor 2 X 2 subblock sum.
Original entry on oeis.org
81, 558, 3844, 26784, 186624, 1296000, 9000000, 62568000, 434972736, 3022785216, 21006444096, 146001569472, 1014758051904, 7052535822528, 49014897132096, 340658500222656, 2367611084874816, 16455017381102784, 114363207176279616
Offset: 1
Some solutions for 3 X 2:
..2..1....0..2....2..1....2..1....0..1....0..2....1..2....0..0....2..1....0..1
..0..2....2..2....0..1....1..1....2..1....1..0....2..0....2..1....0..2....0..2
..0..0....0..0....1..0....0..2....2..0....2..2....1..1....1..1....1..1....2..2
A185772
Number of (n+1)X3 0..2 arrays with no 2X2 subblock sum equal to any horizontal or vertical neighbor 2X2 subblock sum.
Original entry on oeis.org
558, 7074, 89118, 1151346, 14837270, 190416934, 2442333998, 31384892214, 403218559222, 5178525140438, 66503687019294, 854217043141534, 10971879636716262, 140921116729079306, 1809957986000195766
Offset: 1
Some solutions for 5X3
..0..0..1....0..0..1....0..0..0....0..0..0....0..0..0....0..0..0....0..0..0
..0..1..0....0..2..1....0..2..1....2..0..0....0..0..1....0..1..1....2..1..0
..2..2..1....0..2..2....0..1..1....2..0..1....1..1..1....1..2..2....0..2..1
..2..2..2....0..1..1....0..1..0....0..1..0....1..2..0....0..0..1....2..0..0
..1..0..2....1..0..1....0..2..2....0..0..2....1..0..1....0..0..0....1..0..1
A185773
Number of (n+1)X4 0..2 arrays with no 2X2 subblock sum equal to any horizontal or vertical neighbor 2X2 subblock sum.
Original entry on oeis.org
3844, 89118, 2046098, 48744342, 1154712762, 27239862108, 641595944400, 15156754839024, 357869357090800, 8446854770875602, 199334639825139922, 4705555692884330894, 111074885127703334276, 2621814014876365014966
Offset: 1
Some solutions for 3X4
..2..1..0..2....2..1..1..1....2..2..0..1....1..1..2..2....0..0..0..1
..1..1..0..2....2..0..0..1....2..0..0..2....0..1..1..1....0..1..2..1
..0..0..2..1....1..1..2..2....0..2..1..2....0..1..1..2....1..2..2..0
A185774
Number of (n+1)X5 0..2 arrays with no 2X2 subblock sum equal to any horizontal or vertical neighbor 2X2 subblock sum.
Original entry on oeis.org
26784, 1151346, 48744342, 2171002788, 95851024672, 4212755548948, 184696487434352, 8130440303768416, 357605861336206826, 15723990359863559644, 691174683753522142476, 30395002285452611004698
Offset: 1
Some solutions for 3X5
..0..1..0..1..0....0..0..0..0..1....0..1..2..2..2....0..2..2..1..1
..0..1..2..2..0....0..2..2..0..2....0..0..2..1..1....0..0..1..0..1
..1..2..1..2..0....0..1..1..2..0....1..1..1..2..1....1..0..2..2..1
A185770
Number of (n+1)X(n+1) 0..2 arrays with no 2X2 subblock sum equal to any horizontal or vertical neighbor 2X2 subblock sum.
Original entry on oeis.org
81, 7074, 2046098, 2171002788, 7861640359954
Offset: 1
Some solutions for 3X3
..2..1..2....0..0..1....2..0..0....2..1..1....1..2..1....1..1..0....2..1..1
..0..2..2....1..1..2....1..1..0....2..0..1....0..1..2....1..0..0....0..0..0
..0..1..0....0..1..1....2..2..1....1..1..0....2..0..1....2..1..1....0..2..2
A185775
Number of (n+1)X6 0..2 arrays with no 2X2 subblock sum equal to any horizontal or vertical neighbor 2X2 subblock sum.
Original entry on oeis.org
186624, 14837270, 1154712762, 95851024672, 7861640359954, 641850855452998
Offset: 1
Some solutions for 3X6
..0..0..1..2..0..0....0..0..1..2..1..2....0..0..2..2..0..0....0..0..1..2..2..2
..0..1..2..0..0..1....0..1..2..2..1..0....0..0..1..0..2..1....0..0..0..1..2..2
..0..1..2..0..0..1....0..1..1..1..0..2....0..1..0..0..0..2....0..1..1..1..0..1
A185776
Number of (n+1)X7 0..2 arrays with no 2X2 subblock sum equal to any horizontal or vertical neighbor 2X2 subblock sum.
Original entry on oeis.org
1296000, 190416934, 27239862108, 4212755548948, 641850855452998
Offset: 1
Some solutions for 3X7
..0..0..1..2..0..2..2....0..0..1..1..2..1..0....0..0..1..0..2..1..2
..0..1..0..0..0..2..2....0..2..0..2..2..0..0....0..0..0..2..1..2..0
..0..1..1..1..0..0..2....0..1..1..2..2..0..2....0..1..1..1..2..2..2
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