A184029 T(n,k)=1/8 the number of (n+1)X(k+1) 0..3 arrays with all 2X2 subblock sums the same

32, 88, 88, 242, 204, 242, 748, 491, 491, 748, 2312, 1347, 1052, 1347, 2312, 7684, 3781, 2597, 2597, 3781, 7684, 25538, 11541, 6650, 5802, 6650, 11541, 25538, 89044, 35771, 18701, 13603, 13603, 18701, 35771, 89044, 310472, 117321, 53948, 35256, 29432

Offset

1,1

Comments

Table starts

......32......88.....242.....748....2312....7684...25538...89044..310472

......88.....204.....491....1347....3781...11541...35771..117321..389053

.....242.....491....1052....2597....6650...18701...53948..165929..520322

.....748....1347....2597....5802...13603...35256...94469..271176..798403

....2312....3781....6650...13603...29432...70867..177386..477919.1325792

....7684...11541...18701...35256...70867..159318..374381..950430.2493379

...25538...35771...53948...94469..177386..374381..829724.1994441.4970738

...89044..117321..165929..271176..477919..950430.1994441.4552710

..310472..389053..520322..798403.1325792.2493379.4970738

.1119748.1343649.1709981.2473212.3881491.6918426

Links

R. H. Hardin, Table of n, a(n) for n = 1..127

Formula

Empirical, for every row and column: a(n)=8*a(n-1)+16*a(n-2)-268*a(n-3)+189*a(n-4)+3388*a(n-5)-5824*a(n-6)-20048*a(n-7)+49756*a(n-8)+52752*a(n-9)-196896*a(n-10)-24192*a(n-11)+369216*a(n-12)-131328*a(n-13)-262656*a(n-14)+165888*a(n-15)

Example

Some solutions for 5X4
..1..3..0..3....1..2..1..3....0..3..0..2....2..2..1..1....1..2..2..2
..0..3..1..3....2..1..2..0....3..0..3..1....1..1..2..2....2..2..1..2
..3..1..2..1....2..1..2..2....2..1..2..0....2..2..1..1....2..1..3..1
..2..1..3..1....0..3..0..2....1..2..1..3....0..2..1..3....1..3..0..3
..1..3..0..3....1..2..1..3....0..3..0..2....3..1..2..0....0..3..1..3

Crossrefs

Sequence in context: A256810 A256803 A229721 * A184021 A317762 A318341

Adjacent sequences: A184026 A184027 A184028 * A184030 A184031 A184032

Keyword

nonn,tabl

Author

R. H. Hardin Jan 08 2011

Status

approved