A226658 T(n,k)=Number of nXk 0..4 arrays of sums of 2X2 subblocks of some (n+1)X(k+1) binary array.

5, 19, 19, 65, 205, 65, 211, 1795, 1795, 211, 665, 14221, 36317, 14221, 665, 2059, 106819, 636331, 636331, 106819, 2059, 6305, 778765, 10365005, 23679901, 10365005, 778765, 6305, 19171, 5581315, 162470155, 805351531, 805351531, 162470155

Offset: 1

Author

R. H. Hardin Jun 14 2013

Keywords

• nonn
• tabl

Comments

Table starts

......5.........19...........65............211.............665............2059

.....19........205.........1795..........14221..........106819..........778765

.....65.......1795........36317.........636331........10365005.......162470155

....211......14221.......636331.......23679901.......805351531.....26175881341

....665.....106819.....10365005......805351531.....56294206205...3735873535339

...2059.....778765....162470155....26175881341...3735873535339.502757743028605

...6305....5581315...2495037197...831358677451.241600284318365

..19171...39606541..37898120011.26094426008221

..58025..279447619.572284920845

.175099.1965098125

.527345

Examples

			Some solutions for n=3 k=4
..1..1..1..0....0..1..1..1....0..1..1..0....1..0..1..1....1..0..2..3
..3..1..1..2....1..1..2..1....1..2..2..2....1..2..3..2....1..2..2..1
..3..2..2..3....3..1..2..3....2..1..2..3....2..3..2..1....3..3..1..0
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..71

Crossrefs

Diagonal is A005333(n+1)

Staircase diagonal is A123281(n-3)

Column 1 is A001047(n+1)

Column 2 is A002501(n+1)

Column 3 is A002502(n+1)

Column 4 is A093732(n+1)

Column 5 is A093733(n+1)