A237142 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the maximum plus the upper median of every 2X2 subblock equal

256, 1500, 1500, 8414, 22960, 8414, 52484, 333446, 333446, 52484, 328768, 5961802, 9999802, 5961802, 328768, 2145192, 107652788, 436271890, 436271890, 107652788, 2145192, 14152560, 2051159992, 17759803582, 50384979024, 17759803582

Offset

1,1

Comments

Table starts

......256........1500...........8414.............52484...............328768

.....1500.......22960.........333446...........5961802............107652788

.....8414......333446........9999802.........436271890..........17759803582

....52484.....5961802......436271890.......50384979024........5202836871398

...328768...107652788....17759803582.....5202836871398.....1265341553110578

..2145192..2051159992...786068103136...584749165564886...343189152916040638

.14152560.39515565068.34365943860434.64333155899089090.89542359784737823891

Links

R. H. Hardin, Table of n, a(n) for n = 1..199

Formula

Empirical for column k:

k=1: [linear recurrence of order 22]

k=2: [order 44]

k=3: [order 93]

Example

Some solutions for n=2 k=4
..0..0..2..1..2....0..0..2..1..2....0..0..3..0..3....0..0..2..2..0
..2..1..0..1..1....2..2..2..2..2....3..2..2..2..2....2..3..2..3..1
..1..0..2..0..2....0..2..0..0..0....1..0..3..2..3....1..2..0..0..2

Crossrefs

Sequence in context: A333606 A237974 A237967 * A237135 A197709 A198073

Adjacent sequences: A237139 A237140 A237141 * A237143 A237144 A237145

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 04 2014

Status

approved