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

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

R. H. Hardin, Table of n, a(n) for n = 1..449

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

Adjacent sequences: A252136 A252137 A252138 * A252140 A252141 A252142

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 14 2014

Status

approved