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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

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: A172934 A172952 A306670 * A251812 A251811 A268145

Adjacent sequences:  A251816 A251817 A251818 * A251820 A251821 A251822

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Dec 09 2014

STATUS

approved

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Last modified November 22 13:47 EST 2019. Contains 329393 sequences. (Running on oeis4.)