login
A184029
T(n,k)=1/8 the number of (n+1)X(k+1) 0..3 arrays with all 2X2 subblock sums the same
10
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
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
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Jan 08 2011
STATUS
approved