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

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

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