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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

R. H. Hardin, Table of n, a(n) for n = 1..312

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 A043051

Adjacent sequences:  A232035 A232036 A232037 * A232039 A232040 A232041

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Nov 17 2013

STATUS

approved

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Last modified November 19 22:34 EST 2019. Contains 329323 sequences. (Running on oeis4.)