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A251845 T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum nonprime and every diagonal and antidiagonal sum prime 9
974, 981, 981, 641, 508, 641, 872, 828, 828, 872, 1443, 1229, 1803, 1229, 1443, 1951, 2672, 2890, 2890, 2672, 1951, 2784, 5438, 8582, 5860, 8582, 5438, 2784, 4949, 9647, 21748, 18708, 18708, 21748, 9647, 4949, 7897, 22610, 40492, 48692, 79817, 48692 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

...974...981....641.....872.....1443......1951......2784.......4949........7897

...981...508....828....1229.....2672......5438......9647......22610.......47398

...641...828...1803....2890.....8582.....21748.....40492.....128431......339592

...872..1229...2890....5860....18708.....48692....100973.....328235......861182

..1443..2672...8582...18708....79817....277125....616922....2656032.....9359217

..1951..5438..21748...48692...277125...1226031...2726048...16168331....74290304

..2784..9647..40492..100973...616922...2726048...6811452...41181626...182794163

..4949.22610.128431..328235..2656032..16168331..41181626..332307262..2059472370

..7897.47398.339592..861182..9359217..74290304.182794163.2059472370.17060512419

.11384.86279.639794.1788541.20878370.163730464.457065675.5243479806.41379031232

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..511

FORMULA

Empirical for column k:

k=1: [linear recurrence of order 23] for n>28

k=2: [order 21] for n>26

k=3: [order 24] for n>33

k=4: [order 27] for n>32

k=5: [order 36] for n>43

k=6: [order 42] for n>50

k=7: [order 48] for n>56

EXAMPLE

Some solutions for n=4 k=4

..3..0..1..3..0..1....3..0..1..0..0..1....1..0..0..1..0..3....1..0..0..1..3..0

..1..1..2..1..1..2....1..1..2..1..1..2....2..1..1..2..1..1....3..3..0..1..0..0

..0..0..1..0..0..1....0..0..1..3..0..1....1..0..3..1..0..0....2..1..1..2..1..1

..0..0..1..0..0..1....0..3..1..0..0..1....1..0..0..1..0..3....1..0..3..1..0..0

..1..1..2..1..1..2....1..1..2..1..1..2....2..1..1..2..1..1....1..0..0..1..0..0

..0..0..1..0..3..1....3..0..1..0..3..1....1..3..0..1..0..0....2..1..1..2..1..1

CROSSREFS

Sequence in context: A275060 A251837 A251838 * A254072 A253363 A253907

Adjacent sequences:  A251842 A251843 A251844 * A251846 A251847 A251848

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Dec 09 2014

STATUS

approved

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Last modified September 27 03:21 EDT 2020. Contains 337380 sequences. (Running on oeis4.)