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A238155 T(n,k) = Number of (n+1) X (k+1) 0..3 arrays with the maximum plus the upper median of every 2 X 2 subblock differing from its horizontal and vertical neighbors by exactly one. 8
256, 1608, 1608, 10664, 15800, 10664, 72584, 165780, 165780, 72584, 499560, 1792226, 2842692, 1792226, 499560, 3342416, 18918620, 51036456, 51036456, 18918620, 3342416, 22488016, 202875630, 961463420, 1809464182, 961463420 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Table starts
.......256........1608.........10664............72584..............499560
......1608.......15800........165780..........1792226............18918620
.....10664......165780.......2842692.........51036456...........961463420
.....72584.....1792226......51036456.......1809464182.........63323756608
....499560....18918620.....961463420......63323756608.......4251191656884
...3342416...202875630...18066348584....2281444628340.....277864575306608
..22488016..2177434900..345494546192...79094196555400...18866641119536914
.152285824.23302931502.6395305423256.2844505175089988.1284534193930221572
LINKS
FORMULA
Empirical for column k:
k=1: [linear recurrence of order 20] for n > 21.
k=2: [order 56] for n > 58.
EXAMPLE
Some solutions for n=2, k=4
..1..0..2..1..3....1..0..2..1..3....0..0..3..1..2....1..0..1..0..2
..3..2..1..1..0....1..3..2..1..2....2..2..2..3..0....2..1..0..2..1
..2..3..2..2..3....2..0..3..1..2....3..1..2..0..3....2..0..2..0..0
CROSSREFS
Sequence in context: A238074 A251974 A250429 * A238148 A237927 A237922
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Feb 18 2014
STATUS
approved

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Last modified June 20 13:44 EDT 2024. Contains 373527 sequences. (Running on oeis4.)