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

1,1

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

Links

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

Example

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

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)

Sequence in context: A169698 A211177 A260645 * A212153 A337401 A338127

Adjacent sequences: A226655 A226656 A226657 * A226659 A226660 A226661

Keyword

nonn,tabl

Author

R. H. Hardin Jun 14 2013

Status

approved