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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

%I #4 Dec 09 2014 15:59:26

%S 974,981,981,641,508,641,872,828,828,872,1443,1229,1803,1229,1443,

%T 1951,2672,2890,2890,2672,1951,2784,5438,8582,5860,8582,5438,2784,

%U 4949,9647,21748,18708,18708,21748,9647,4949,7897,22610,40492,48692,79817,48692

%N 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

%C Table starts

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

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

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

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

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

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

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

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

%C ..7897.47398.339592..861182..9359217..74290304.182794163.2059472370.17060512419

%C .11384.86279.639794.1788541.20878370.163730464.457065675.5243479806.41379031232

%H R. H. Hardin, <a href="/A251845/b251845.txt">Table of n, a(n) for n = 1..511</a>

%F Empirical for column k:

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

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

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

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

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

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

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

%e Some solutions for n=4 k=4

%e ..3..0..1..3..0..1....3..0..1..0..0..1....1..0..0..1..0..3....1..0..0..1..3..0

%e ..1..1..2..1..1..2....1..1..2..1..1..2....2..1..1..2..1..1....3..3..0..1..0..0

%e ..0..0..1..0..0..1....0..0..1..3..0..1....1..0..3..1..0..0....2..1..1..2..1..1

%e ..0..0..1..0..0..1....0..3..1..0..0..1....1..0..0..1..0..3....1..0..3..1..0..0

%e ..1..1..2..1..1..2....1..1..2..1..1..2....2..1..1..2..1..1....1..0..0..1..0..0

%e ..0..0..1..0..3..1....3..0..1..0..3..1....1..3..0..1..0..0....2..1..1..2..1..1

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Dec 09 2014

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Last modified July 19 11:44 EDT 2024. Contains 374394 sequences. (Running on oeis4.)