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A251923
T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum 2 4 5 or 7 and every diagonal and antidiagonal sum not 2 4 5 or 7
9
1194, 1914, 1914, 2524, 3054, 2524, 3260, 4624, 4624, 3260, 5810, 4938, 6086, 4938, 5810, 8932, 10704, 10820, 10820, 10704, 8932, 12872, 19964, 27366, 25882, 27366, 19964, 12872, 21518, 34396, 59760, 80438, 80438, 59760, 34396, 21518, 33814, 76834
OFFSET
1,1
COMMENTS
Table starts
..1194...1914....2524.....3260......5810.......8932.......12872........21518
..1914...3054....4624.....4938.....10704......19964.......34396........76834
..2524...4624....6086....10820.....27366......59760......153792.......424648
..3260...4938...10820....25882.....80438.....253148......856022......3063064
..5810..10704...27366....80438....340800....1316762.....5742474.....24518672
..8932..19964...59760...253148...1316762....6752446....36065236....196441982
.12872..34396..153792...856022...5742474...36065236...249690188...1610617806
.21518..76834..424648..3063064..24518672..196441982..1610617806..13251150646
.33814.157770.1188644.10885914.111841952.1066828482.11148308670.108350245070
.52274.319716.3247774.39035588.475675160.5808060274.71796251804.887270130550
LINKS
FORMULA
Empirical for column k:
k=1: [linear recurrence of order 59] for n>63
k=2: [order 66] for n>69
k=3: [order 73] for n>77
k=4: [order 69] for n>74
EXAMPLE
Some solutions for n=4 k=4
..3..1..0..1..3..1....1..0..1..3..1..0....2..0..2..0..2..3....3..2..0..2..0..2
..1..3..1..3..1..3....0..1..3..1..0..1....0..2..3..2..0..2....2..3..2..0..2..0
..3..1..3..1..3..1....1..3..1..0..1..3....2..0..2..0..2..0....0..2..0..2..3..2
..1..0..1..3..1..3....3..1..0..1..3..1....0..2..0..2..3..2....2..0..2..0..2..0
..3..1..3..1..3..1....1..3..1..3..1..0....2..0..2..3..2..0....0..2..0..2..0..2
..1..3..1..0..1..3....3..1..3..1..3..1....0..2..3..2..0..2....2..0..2..0..2..0
CROSSREFS
Sequence in context: A287049 A153379 A103172 * A251916 A251915 A166221
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Dec 11 2014
STATUS
approved