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A252167
T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 2 3 4 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 2 3 4 6 or 7
9
2581, 3712, 3712, 5025, 1930, 5025, 7570, 1574, 1574, 7570, 12522, 2075, 2264, 2075, 12522, 21186, 3749, 3925, 3925, 3749, 21186, 37337, 6883, 9178, 9058, 9178, 6883, 37337, 68096, 12842, 20753, 26129, 26129, 20753, 12842, 68096, 124387, 26127
OFFSET
1,1
COMMENTS
Table starts
...2581...3712...5025....7570....12522.....21186......37337......68096
...3712...1930...1574....2075.....3749......6883......12842......26127
...5025...1574...2264....3925.....9178.....20753......46233.....114986
...7570...2075...3925....9058....26129.....67674.....170398.....513123
..12522...3749...9178...26129....90638....282255.....874123....3133532
..21186...6883..20753...67674...282255...1007913....3444924...14647117
..37337..12842..46233..170398...874123...3444924...13087197...69021164
..68096..26127.114986..513123..3133532..14647117...69021164..433466577
.124387..53376.269977.1339027..9855158..52661401..272148070.2027930035
.231325.107547.610667.3379880.31190308.182127968.1031454085.9834378488
LINKS
FORMULA
Empirical for column k:
k=2: [linear recurrence of order 35] for n>42
k=3: [order 40] for n>45
k=4: [order 46] for n>50
k=5: [order 72] for n>75
k=6: [order 86] for n>89
EXAMPLE
Some solutions for n=4 k=4
..3..1..0..3..1..3....0..3..1..3..0..3....3..2..2..3..2..2....0..3..1..3..0..1
..2..3..2..2..0..2....3..0..3..0..3..0....1..3..3..1..0..3....2..2..0..2..2..3
..2..3..2..2..3..2....0..3..0..3..0..3....3..2..2..3..2..2....2..2..3..2..2..3
..0..1..3..3..1..3....3..1..3..0..3..0....3..2..2..3..2..2....3..3..1..3..3..1
..2..3..2..2..3..2....0..3..0..3..0..3....1..0..3..1..3..3....2..2..3..2..2..3
..2..3..2..2..3..2....3..0..3..0..3..0....3..2..2..0..2..2....2..2..0..2..2..3
CROSSREFS
Sequence in context: A235094 A171257 A252159 * A252160 A236425 A235840
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Dec 14 2014
STATUS
approved