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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 9
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 (list; table; graph; refs; listen; history; text; internal format)
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
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
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Dec 13 2014
STATUS
approved

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Last modified March 29 01:36 EDT 2024. Contains 371264 sequences. (Running on oeis4.)