A252088 T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 1 3 or 4

64, 130, 130, 295, 322, 295, 687, 943, 943, 687, 1591, 2595, 3326, 2595, 1591, 3650, 7089, 11186, 11186, 7089, 3650, 8389, 19910, 38374, 47266, 38374, 19910, 8389, 19412, 55703, 132875, 199064, 199064, 132875, 55703, 19412, 45002, 155266, 457442

Offset

1,1

Comments

Table starts

.....64.....130......295.......687.......1591........3650..........8389

....130.....322......943......2595.......7089.......19910.........55703

....295.....943.....3326.....11186......38374......132875........457442

....687....2595....11186.....47266.....199064......846257.......3603209

...1591....7089....38374....199064....1034546.....5474209......28883234

...3650...19910...132875....846257....5474209....35987921.....235656844

...8389...55703...457442...3603209...28883234...235656844....1915241208

..19412..155266..1580135..15363231..152360177..1544714826...15577211975

..45002..434540..5473377..65536806..805901591.10150201969..127024329067

.104255.1216413.18930754.279433103.4260742020.66639770473.1035087495381

Links

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

Formula

Empirical for column k:

k=1: [linear recurrence of order 17] for n>18

k=2: [order 22] for n>23

k=3: [order 44] for n>46

k=4: [order 69] for n>73

Example

Some solutions for n=4 k=4
..1..2..2..2..2..1....2..2..2..2..1..2....0..2..0..0..0..0....1..2..2..2..2..2
..2..2..1..2..2..2....2..2..1..2..2..2....0..0..0..2..0..0....2..2..2..2..2..2
..2..2..2..2..2..2....2..2..2..2..2..1....0..0..0..0..0..2....2..2..2..2..2..2
..2..2..2..2..2..2....2..2..2..2..2..2....0..0..0..0..0..0....2..2..2..2..2..1
..2..2..2..2..2..2....2..2..2..2..2..2....2..0..0..0..0..0....1..2..2..2..2..2
..2..2..2..2..1..2....1..2..2..2..2..2....0..0..0..2..0..0....2..2..2..2..2..2

Crossrefs

Sequence in context: A045076 A235058 A366287 * A211254 A252081 A068410

Adjacent sequences: A252085 A252086 A252087 * A252089 A252090 A252091

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 13 2014

Status

approved