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A283543 T(n,k)=Number of nXk 0..1 arrays with no 1 equal to more than one of its horizontal, diagonal and antidiagonal neighbors. 12
2, 4, 4, 7, 11, 8, 13, 27, 33, 16, 24, 76, 127, 98, 32, 44, 201, 578, 573, 291, 64, 81, 537, 2369, 4089, 2615, 865, 128, 149, 1444, 10069, 25532, 29558, 11903, 2570, 256, 274, 3859, 42664, 167920, 282773, 212441, 54211, 7637, 512, 504, 10339, 179733, 1094959 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Table starts
....2.....4.......7........13..........24............44..............81
....4....11......27........76.........201...........537............1444
....8....33.....127.......578........2369.........10069...........42664
...16....98.....573......4089.......25532........167920.........1094959
...32...291....2615.....29558......282773.......2905717........29377334
...64...865...11903....212441.....3109801......49760703.......778500603
..128..2570...54211...1529463....34266804.....854841910.....20707472573
..256..7637..246869..11006233...377393657...14672363665....550220030803
..512.22693.1124239..79212552..4156954825..251901309671..14624495679716
.1024.67432.5119755.570077446.45786939720.4324419947902.388675661283840
LINKS
FORMULA
Empirical for column k:
k=1: a(n) = 2*a(n-1)
k=2: a(n) = 2*a(n-1) +3*a(n-2) -a(n-4)
k=3: a(n) = 5*a(n-1) -a(n-2) -7*a(n-3) +10*a(n-4) +4*a(n-5) -8*a(n-6)
k=4: [order 8]
k=5: [order 21]
k=6: [order 27]
k=7: [order 59]
Empirical for row n:
n=1: a(n) = a(n-1) +a(n-2) +a(n-3)
n=2: a(n) = a(n-1) +3*a(n-2) +4*a(n-3)
n=3: a(n) = 2*a(n-1) +7*a(n-2) +11*a(n-3) -6*a(n-4) +11*a(n-5) -2*a(n-6)
n=4: [order 8]
n=5: [order 21]
n=6: [order 32]
n=7: [order 69]
EXAMPLE
Some solutions for n=4 k=4
..1..1..0..0. .0..1..0..0. .1..0..0..0. .0..0..1..0. .0..1..0..0
..0..0..0..1. .0..0..1..0. .1..0..0..1. .1..0..0..1. .0..1..0..0
..0..0..0..1. .1..0..0..0. .1..0..0..0. .1..0..0..1. .1..0..0..1
..0..0..0..0. .1..0..0..0. .0..0..0..0. .0..0..0..0. .1..0..0..1
CROSSREFS
Column 1 is A000079.
Column 2 is A282990.
Row 1 is A000073(n+3).
Row 2 is A282641.
Sequence in context: A295253 A295652 A269075 * A297682 A297607 A223770
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Mar 10 2017
STATUS
approved

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Last modified May 27 07:52 EDT 2024. Contains 372850 sequences. (Running on oeis4.)