A252369 T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 1 3 4 6 or 7

130, 152, 152, 282, 276, 282, 658, 834, 834, 658, 1482, 2338, 3054, 2338, 1482, 3188, 6298, 10450, 10450, 6298, 3188, 6954, 17340, 36078, 45516, 36078, 17340, 6954, 15432, 48034, 124538, 192946, 192946, 124538, 48034, 15432, 34120, 132168, 427362

Offset

1,1

Comments

Table starts

...130.....152......282.......658.......1482........3188..........6954

...152.....276......834......2338.......6298.......17340.........48034

...282.....834.....3054.....10450......36078......124538........427362

...658....2338....10450.....45516.....192946......818040.......3482672

..1482....6298....36078....192946....1007920.....5340334......28210122

..3188...17340...124538....818040....5340334....35124242.....230366506

..6954...48034...427362...3482672...28210122...230366506....1875961304

.15432..132168..1470006..14848406..148778446..1511215256...15268178994

.34120..363764..5070814..63260032..786842266..9934409558..124565591414

.74978.1002682.17463766.269276490.4159988004.65227813792.1015416647500

Links

R. H. Hardin, Table of n, a(n) for n = 1..337

Formula

Empirical for column k:

k=1: a(n) = a(n-1) +3*a(n-3) +4*a(n-4) +4*a(n-5) +2*a(n-6) for n>8

k=2: [order 8] for n>9

k=3: [order 15] for n>17

k=4: [order 23] for n>25

k=5: [order 43] for n>45

k=6: [order 71] for n>73

Example

Some solutions for n=4 k=4
..3..3..3..3..2..3....3..3..3..3..3..2....0..0..0..2..0..0....0..0..0..0..0..0
..2..3..3..3..3..3....3..2..3..3..3..3....0..2..0..0..0..0....2..0..0..0..0..0
..3..3..3..3..3..3....3..3..3..3..2..3....0..0..0..0..0..0....0..0..0..0..0..2
..3..3..3..3..3..3....2..3..3..3..3..3....0..0..0..0..0..0....0..0..0..0..0..0
..3..3..3..3..3..2....3..3..3..3..3..3....0..0..0..2..0..0....0..2..0..0..0..0
..3..3..3..3..2..3....3..2..3..3..3..3....0..2..0..0..0..2....0..0..0..0..0..2

Crossrefs

Sequence in context: A025373 A025364 A294311 * A252362 A331629 A248943

Adjacent sequences: A252366 A252367 A252368 * A252370 A252371 A252372

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 17 2014

Status

approved