A252295 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 0 2 3 6 or 7

943, 856, 856, 976, 436, 976, 1481, 637, 637, 1481, 2079, 1327, 1663, 1327, 2079, 3265, 3267, 5257, 5257, 3267, 3265, 5676, 8740, 18047, 22766, 18047, 8740, 5676, 10939, 24071, 62277, 96481, 96481, 62277, 24071, 10939, 21842, 66114, 213689, 409028

Offset

1,1

Comments

Table starts

...943....856.....976......1481.......2079........3265.........5676

...856....436.....637......1327.......3267........8740........24071

...976....637....1663......5257......18047.......62277.......213689

..1481...1327....5257.....22766......96481......409028......1741344

..2079...3267...18047.....96481.....503968.....2670175.....14105069

..3265...8740...62277....409028....2670175....17562129....115183261

..5676..24071..213689...1741344...14105069...115183261....937980660

.10939..66114..735011...7424211...74389231...755607636...7634089505

.21842.181896.2535415..31630024..393421141..4967204787..62282795715

.45450.501355.8731891.134638253.2079994010.32613906904.507708323758

Links

R. H. Hardin, Table of n, a(n) for n = 1..391

Formula

Empirical for column k:

k=1: [linear recurrence of order 25] for n>30

k=2: [order 9] for n>17

k=3: [order 16] for n>20

k=4: [order 24] for n>27

k=5: [order 44] for n>46

k=6: [order 72] for n>74

Example

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

Crossrefs

Diagonal matches A252131 for n>3

Column 2 matches A252133 for n>8

Column 3 matches A252134 for n>4

Column 4 matches A252135 for n>3

Column 5 matches A252136 for n>2

Column 6 matches A252137 for n>2

Column 7 matches A252138 for n>2

Sequence in context: A104302 A228382 A340876 * A252294 A268268 A106431

Adjacent sequences: A252292 A252293 A252294 * A252296 A252297 A252298

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 16 2014

Status

approved