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A233892 T(n,k)=Number of (n+1)X(k+1) 0..6 arrays with every 2X2 subblock having the sum of the squares of the edge differences equal to 30 (30 maximizes T(1,1)), and no two adjacent values equal 9
112, 384, 384, 1264, 1960, 1264, 4292, 9376, 9376, 4292, 14272, 47732, 65280, 47732, 14272, 48300, 233468, 496200, 496200, 233468, 48300, 161168, 1183328, 3580624, 5859504, 3580624, 1183328, 161168, 544460, 5829956, 27131156, 64285728 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Table starts
.....112.......384........1264..........4292..........14272.............48300
.....384......1960........9376.........47732.........233468...........1183328
....1264......9376.......65280........496200........3580624..........27131156
....4292.....47732......496200.......5859504.......64285728.........759799284
...14272....233468.....3580624......64285728.....1057449360.......19042134996
...48300...1183328....27131156.....759799284....19042134996......537828679688
..161168...5829956...197246776....8442821772...317752132336....13755592501748
..544460..29477912..1489635452...99513692668..5699659660192...387390404847976
.1820160.145866316.10865513648.1113177722808.95672524656808.10003460641597548
LINKS
FORMULA
Empirical for column k:
k=1: [linear recurrence of order 10]
k=2: [order 32]
k=3: [order 58]
EXAMPLE
Some solutions for n=3 k=4
..6..5..2..5..6....2..5..2..5..6....1..5..4..1..4....1..5..1..2..5
..3..1..0..1..3....0..1..3..1..4....0..2..6..2..0....0..3..4..6..4
..2..5..3..5..6....3..5..6..2..0....4..1..3..1..4....1..5..1..5..1
..0..1..4..1..4....4..1..4..5..1....6..2..6..5..6....0..2..3..2..0
CROSSREFS
Sequence in context: A211444 A270759 A352585 * A233885 A235319 A203923
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Dec 17 2013
STATUS
approved

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Last modified March 2 15:34 EST 2024. Contains 370494 sequences. (Running on oeis4.)