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A252139
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 3 4 6 or 7
9
172, 134, 134, 209, 156, 209, 439, 431, 431, 439, 909, 1183, 1535, 1183, 909, 1864, 3163, 5233, 5233, 3163, 1864, 3905, 8684, 18047, 22766, 18047, 8684, 3905, 8406, 24031, 62277, 96481, 96481, 62277, 24031, 8406, 18168, 66098, 213689, 409028
OFFSET
1,1
COMMENTS
Table starts
...172....134.....209.......439........909........1864.........3905
...134....156.....431......1183.......3163........8684........24031
...209....431....1535......5233......18047.......62277.......213689
...439...1183....5233.....22766......96481......409028......1741344
...909...3163...18047.....96481.....503968.....2670175.....14105069
..1864...8684...62277....409028....2670175....17562129....115183261
..3905..24031..213689...1741344...14105069...115183261....937980660
..8406..66098..735011...7424211...74389231...755607636...7634089505
.18168.181896.2535415..31630024..393421141..4967204787..62282795715
.39279.501355.8731891.134638253.2079994010.32613906904.507708323758
LINKS
FORMULA
Empirical for column k:
k=1: [linear recurrence of order 10] for n>12
k=2: [order 9] for n>11
k=3: [order 16] for n>17
k=4: [order 24] for n>26
k=5: [order 44] for n>46
k=6: [order 72] for n>74
EXAMPLE
Some solutions for n=4 k=4
..2..3..3..3..3..3....3..3..3..3..3..2....3..3..3..3..2..3....3..3..3..3..3..3
..3..3..2..3..3..3....3..3..2..3..3..3....3..3..3..3..3..2....2..3..3..2..3..3
..3..3..3..3..3..3....2..3..3..3..3..3....3..2..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..2..3..3..3..3....2..3..3..3..3..2....3..3..3..3..2..3
..3..3..3..3..3..2....3..3..3..3..3..2....3..2..3..3..2..3....3..3..3..3..3..3
CROSSREFS
Sequence in context: A076573 A015356 A259158 * A252132 A252131 A223823
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Dec 14 2014
STATUS
approved