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A251019 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with no 2X2 subblock having the sum of its diagonal elements less than the maximum of its antidiagonal elements 9
63, 423, 423, 2828, 6653, 2828, 18910, 105897, 105897, 18910, 126468, 1691169, 4006992, 1691169, 126468, 845838, 27018053, 151364054, 151364054, 27018053, 845838, 5657125, 431623476, 5710752444, 13508173078, 5710752444, 431623476 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Table starts
......63........423..........2828............18910...............126468
.....423.......6653........105897..........1691169.............27018053
....2828.....105897.......4006992........151364054...........5710752444
...18910....1691169.....151364054......13508173078........1205414504630
..126468...27018053....5710752444....1205414504630......254604954671538
..845838..431623476..215399006284..107601568615993....53785005221582139
.5657125.6895174650.8124335802103.9606281958966442.11361245256068263101
LINKS
FORMULA
Empirical for column k:
k=1: a(n) = 9*a(n-1) -18*a(n-2) +18*a(n-3) -7*a(n-4) +a(n-5)
k=2: [order 14]
k=3: [order 34]
k=4: [order 92]
EXAMPLE
Some solutions for n=2 k=4
..0..0..0..2..1....0..0..2..2..2....0..2..2..2..1....0..1..2..2..1
..0..2..2..2..1....0..0..2..0..0....0..2..0..2..1....0..2..2..2..0
..1..2..2..1..0....1..1..2..0..0....0..2..1..2..2....1..2..0..0..0
CROSSREFS
Sequence in context: A038993 A068022 A131993 * A251012 A092050 A055817
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Nov 29 2014
STATUS
approved

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Last modified March 28 07:20 EDT 2024. Contains 371235 sequences. (Running on oeis4.)