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A251819 T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with every row, column, diagonal or antidiagonal in each 3X3 subblock summing to a prime 9
345, 500, 500, 738, 538, 738, 1215, 771, 771, 1215, 1973, 1511, 1754, 1511, 1973, 3349, 3501, 5401, 5401, 3501, 3349, 6066, 9040, 18227, 22922, 18227, 9040, 6066, 11665, 24411, 62457, 96649, 96649, 62457, 24411, 11665, 23442, 66516, 213857, 409196 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Table starts
...345....500.....738......1215.......1973........3349.........6066
...500....538.....771......1511.......3501........9040........24411
...738....771....1754......5401......18227.......62457.......213857
..1215...1511....5401.....22922......96649......409196......1741500
..1973...3501...18227.....96649.....504148.....2670355.....14105237
..3349...9040...62457....409196....2670355....17562309....115183429
..6066..24411..213857...1741500...14105237...115183429....937980816
.11665..66516..735191...7424379...74389411...755607816...7634089673
.23442.182350.2535595..31630192..393421321..4967204967..62282795883
.48256.501847.8732059.134638409.2079994178.32613907072.507708323914
LINKS
FORMULA
Empirical for column k:
k=1: [linear recurrence of order 27] for n>35
k=2: [order 17] for n>25
k=3: [order 18] for n>21
k=4: [order 26] for n>28
k=5: [order 46] for n>48
k=6: [order 74] for n>76
EXAMPLE
Some solutions for n=4 k=4
..1..0..1..1..1..1....1..0..1..1..1..0....1..1..1..1..1..1....1..0..1..1..1..0
..1..1..1..1..1..1....1..1..1..1..1..1....0..1..1..1..0..1....0..1..1..0..1..1
..1..1..1..1..1..1....1..1..1..1..0..1....1..1..0..1..1..1....1..1..1..1..1..1
..0..1..1..1..1..1....1..1..1..1..1..1....1..1..1..1..1..0....1..1..1..1..0..1
..1..1..0..1..1..1....0..1..1..1..1..0....1..1..1..1..1..1....1..1..0..1..1..1
..1..1..1..1..0..1....1..1..0..1..1..1....0..1..1..1..0..1....0..1..1..1..1..1
CROSSREFS
Sequence in context: A172934 A172952 A306670 * A251812 A251811 A268145
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Dec 09 2014
STATUS
approved

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Last modified July 17 10:30 EDT 2024. Contains 374375 sequences. (Running on oeis4.)