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A252961
T(n,k)=Number of (n+2)X(k+2) 0..4 arrays with every consecutive three elements in every row and diagonal having exactly two distinct values, and in every column and antidiagonal not having exactly two distinct values, and new values 0 upwards introduced in row major order
16
60, 119, 140, 223, 120, 297, 603, 155, 185, 711, 1251, 249, 259, 337, 1543, 3465, 385, 369, 443, 596, 3461, 7495, 651, 605, 674, 871, 1186, 7637, 20977, 1069, 985, 1027, 1242, 1681, 2279, 16689, 46641, 1757, 1429, 1551, 1747, 2201, 2999, 4165, 35609
OFFSET
1,1
COMMENTS
Table starts
....60...119...223...603..1251..3465..7495..20977..46641.130201.295421.819671
...140...120...155...249...385...651..1069...1757...2949...5045...8293..14403
...297...185...259...369...605...985..1429...2421...3907...6027...9989..16623
...711...337...443...674..1027..1551..2349...3759...5739...9054..14527..22950
..1543...596...871..1242..1747..2822..4019...6133...9681..14784..22631..37118
..3461..1186..1681..2201..3315..5100..6855..10888..16745..24270..38635..61564
..7637..2279..2999..4275..6091..8767.12573..19192..27929..42791..65583.101848
.16689..4165..6103..8202.11027.16909.23471..33929..52191..76861.115015.182359
.35609..8552.11983.15026.21661.32096.42337..64393..96273.137384.210821.330363
.78429.16744.21749.29799.41149.57282.81323.118916.171809.254784.384825.580538
LINKS
FORMULA
Empirical for column k:
k=1: [linear recurrence of order 12] for n>15
k=2: [order 12] for n>14
k=3: [order 8] for n>10
k=4: [order 15] for n>17
k=5: [order 14] for n>16
k=6: [order 12] for n>15
k=7: [order 22] for n>25
Empirical for row n:
n=1: [linear recurrence of order 14] for n>16
n=2: [order 9] for n>12
n=3: [order 13] for n>15
n=4: [order 14] for n>16
n=5: [order 17] for n>19
n=6: [order 19] for n>21
n=7: [order 23] for n>25
EXAMPLE
Some solutions for n=2 k=4
..0..1..1..2..2..3....0..1..1..2..2..3....0..1..1..2..2..3....0..1..0..0..1..0
..3..0..0..1..1..4....2..2..3..3..0..0....4..4..3..3..0..0....2..2..0..2..2..0
..4..3..3..0..0..2....3..0..0..1..1..2....2..0..0..1..1..2....1..0..0..1..0..0
..1..2..2..3..3..0....4..4..2..2..3..3....1..1..4..4..3..3....0..1..0..0..1..0
CROSSREFS
Sequence in context: A182683 A174601 A306908 * A252962 A296767 A336442
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Dec 25 2014
STATUS
approved