A237241 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the maximum plus the lower median minus the upper median minus the minimum of every 2X2 subblock equal

256, 1280, 1280, 6976, 10304, 6976, 40064, 91744, 91744, 40064, 234752, 853152, 1301304, 853152, 234752, 1395200, 8036672, 19274172, 19274172, 8036672, 1395200, 8344576, 76825568, 289676104, 459119016, 289676104, 76825568, 8344576

Offset

1,1

Comments

Table starts

........256.........1280............6976............40064............234752

.......1280........10304...........91744...........853152...........8036672

.......6976........91744.........1301304.........19274172.........289676104

......40064.......853152........19274172........459119016.......11137777044

.....234752......8036672.......289676104......11137777044......437033830120

....1395200.....76825568......4449131420.....278128391716....17747542016236

....8344576....738844928.....68828263944....6990394415904...723439724838368

...50202624...7176050400...1081186864940..179301038336988.30208726334780288

..302927872..69914628864..17018044573704.4594600424879136

.1834229760.686426761312.271159929187820

Links

R. H. Hardin, Table of n, a(n) for n = 1..84

Formula

Empirical for column k:

k=1: [linear recurrence of order 11]

k=2: [order 22]

k=3: [order 67]

Example

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

Crossrefs

Sequence in context: A236979 A236973 A237956 * A120054 A237952 A237235

Adjacent sequences: A237238 A237239 A237240 * A237242 A237243 A237244

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 05 2014

Status

approved