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A230949
T(n,k)=Number of (n+3)X(k+3) 0..3 white square subarrays x(i,j) with each element diagonally or antidiagonally next to at least one element with value (x(i,j)+1) mod 4, and upper left element zero
9
6, 16, 16, 76, 34, 76, 314, 724, 724, 314, 1170, 1994, 8374, 1994, 1170, 4584, 28128, 85196, 85196, 28128, 4584, 18208, 76682, 854206, 606224, 854206, 76682, 18208, 71242, 1144652, 8838040, 22328204, 22328204, 8838040, 1144652, 71242, 278758
OFFSET
1,1
COMMENTS
Table starts
.....6......16........76.........314...........1170............4584
....16......34.......724........1994..........28128...........76682
....76.....724......8374.......85196.........854206.........8838040
...314....1994.....85196......606224.......22328204.......161835904
..1170...28128....854206....22328204......584293702.....15744800360
..4584...76682...8838040...161835904....15744800360....295706164414
.18208.1144652..91616256..6209914254...421312592376..29418861515276
.71242.3107746.944382122.44707108238.11212196319546.546918612768188
LINKS
FORMULA
Empirical for column k:
k=1: a(n) = 3*a(n-1) +14*a(n-3) +a(n-4) -a(n-5)
k=2: [order 16]
k=3: [order 30]
k=4: [order 70]
EXAMPLE
Some solutions for n=2 k=4
..0..x..3..x..3..x..3....0..x..2..x..1..x..1....0..x..0..x..3..x..1
..x..1..x..0..x..0..x....x..1..x..3..x..2..x....x..1..x..0..x..2..x
..2..x..2..x..1..x..3....2..x..0..x..1..x..3....2..x..2..x..1..x..1
..x..3..x..1..x..2..x....x..3..x..1..x..0..x....x..3..x..1..x..0..x
..2..x..0..x..0..x..1....2..x..2..x..0..x..3....2..x..0..x..3..x..3
CROSSREFS
Sequence in context: A301831 A183127 A222884 * A231023 A217186 A101239
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Nov 01 2013
STATUS
approved