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A232038 T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with every element equal to some horizontal, vertical or antidiagonal neighbor, with top left element zero 9
3, 11, 11, 37, 76, 37, 129, 521, 521, 129, 450, 3588, 6958, 3588, 450, 1568, 24719, 94102, 94102, 24719, 1568, 5464, 170270, 1272579, 2504637, 1272579, 170270, 5464, 19041, 1172854, 17207275, 66684606, 66684606, 17207275, 1172854, 19041, 66354 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Table starts
......3........11...........37.............129.................450
.....11........76..........521............3588...............24719
.....37.......521.........6958...........94102.............1272579
....129......3588........94102.........2504637............66684606
....450.....24719......1272579........66684606..........3495632937
...1568....170270.....17207275......1775039591........183196162778
...5464...1172854....232668433.....47248648693.......9600712297741
..19041...8078859...3146033503...1257683786423.....503143350126954
..66354..55648831..42539187117..33477537844376...26368170190670693
.231230.383320506.575194892084.891118676917809.1381873328000465699
LINKS
FORMULA
Empirical for column k:
k=1: a(n) = 4*a(n-1) -2*a(n-2) +a(n-3) -a(n-4)
k=2: a(n) = 7*a(n-1) -5*a(n-3) -2*a(n-4) -a(n-5) +2*a(n-6) +2*a(n-7) for n>8
k=3: [order 20]
k=4: [order 42] for n>44
k=5: [order 95] for n>97
EXAMPLE
Some solutions for n=3 k=4
..0..1..1..1..1....0..1..1..0..1....0..1..1..1..1....0..1..1..1..0
..0..1..0..1..1....0..0..0..1..1....0..1..0..1..1....0..0..1..0..0
..1..0..1..1..1....0..0..1..0..1....1..1..0..0..0....0..1..0..1..1
..1..0..0..0..0....0..1..0..1..1....1..1..0..0..0....1..0..0..0..1
CROSSREFS
Sequence in context: A168378 A248410 A059200 * A072980 A128500 A365037
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Nov 17 2013
STATUS
approved

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Last modified March 18 22:56 EDT 2024. Contains 370952 sequences. (Running on oeis4.)