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A252130
T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum not equal to 0 3 4 6 or 7 and every 3X3 diagonal and antidiagonal sum equal to 0 3 4 6 or 7
9
380, 634, 634, 1214, 1732, 1214, 2149, 5622, 5622, 2149, 4671, 10379, 25017, 10379, 4671, 9640, 34891, 44895, 44895, 34891, 9640, 17053, 120600, 263585, 106631, 263585, 120600, 17053, 37562, 218388, 1322632, 566817, 566817, 1322632, 218388
OFFSET
1,1
COMMENTS
Table starts
....380.....634......1214......2149........4671.........9640........17053
....634....1732......5622.....10379.......34891.......120600.......218388
...1214....5622.....25017.....44895......263585......1322632......2216594
...2149...10379.....44895....106631......566817......2564965......5921321
...4671...34891....263585....566817.....4795018.....40402457.....82061030
...9640..120600...1322632...2564965....40402457....515273273....913218432
..17053..218388...2216594...5921321....82061030....913218432...2318294384
..37562..776527..14725300..32909665...744011930..16209952502..33845245598
..78602.2785875..78319500.153318163..6560422082.217606042342.390491860658
.138803.4949307.126119849.344985321.12886451653.371233200163.960716888512
LINKS
FORMULA
Empirical for column k:
k=1: [linear recurrence of order 21] for n>26
k=2: [order 34] for n>37
k=3: [order 37] for n>42
k=4: [order 52] for n>55
k=5: [order 67] for n>70
k=6: [order 90] for n>94
EXAMPLE
Some solutions for n=4 k=4
..2..1..2..2..1..2....3..0..2..0..3..2....1..0..1..1..3..1....1..1..0..1..1..3
..0..2..3..3..2..0....3..3..2..3..3..2....3..2..3..3..2..3....3..3..2..3..3..2
..0..2..3..3..2..3....2..2..1..2..2..1....1..0..1..1..0..1....1..1..3..1..1..3
..2..1..2..2..1..2....3..3..2..3..0..2....1..3..1..1..3..1....1..1..3..1..1..3
..3..2..3..0..2..3....3..0..2..3..0..2....3..2..3..3..2..3....0..0..2..0..0..2
..0..2..3..0..2..0....2..2..1..2..2..1....1..0..1..1..3..1....1..1..3..1..1..3
CROSSREFS
Sequence in context: A340200 A099728 A206349 * A252123 A158597 A252122
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Dec 14 2014
STATUS
approved