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

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

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

R. H. Hardin, Table of n, a(n) for n = 1..420

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: A172952 A376618 A306670 * A251812 A251811 A268145

Adjacent sequences: A251816 A251817 A251818 * A251820 A251821 A251822

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 09 2014

Status

approved