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.

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

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

R. H. Hardin, Table of n, a(n) for n = 1..112

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

Adjacent sequences: A238152 A238153 A238154 * A238156 A238157 A238158

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 18 2014

Status

approved