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A234091
T(n,k)=Number of (n+1)X(k+1) 0..5 arrays with every 2X2 subblock having the sum of the absolute values of all six edge and diagonal differences equal to 10 (10 maximizes T(1,1))
8
144, 828, 828, 4720, 5928, 4720, 28328, 42980, 42980, 28328, 171136, 344540, 391232, 344540, 171136, 1058160, 2819612, 4090992, 4090992, 2819612, 1058160, 6567360, 24256020, 44020608, 57076708, 44020608, 24256020, 6567360, 41201312, 210130764
OFFSET
1,1
COMMENTS
Table starts
.....144.......828.......4720........28328........171136.........1058160
.....828......5928......42980.......344540.......2819612........24256020
....4720.....42980.....391232......4090992......44020608.......513164308
...28328....344540....4090992.....57076708.....823143024.....13168405216
..171136...2819612...44020608....823143024...15831135568....344607516548
.1058160..24256020..513164308..13168405216..344607516548..10312421814724
.6567360.210130764.6042237368.214483249704.7674912649456.317529314941288
LINKS
FORMULA
Empirical for column k:
k=1: [linear recurrence of order 9]
k=2: [order 39]
EXAMPLE
Some solutions for n=2 k=4
..3..1..2..4..4....0..3..0..1..0....0..1..0..3..0....3..1..3..5..3
..2..4..1..1..3....2..1..0..3..2....0..3..2..3..2....2..0..2..4..2
..5..3..2..4..4....4..3..2..1..4....1..0..3..0..3....3..3..1..1..1
CROSSREFS
Sequence in context: A210724 A237738 A237734 * A234084 A223235 A187301
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Dec 19 2013
STATUS
approved