A235772 T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with the sum of each 2X2 subblock two extreme terms minus its two median terms lexicographically nondecreasing columnwise and nonincreasing rowwise

16, 46, 46, 120, 178, 120, 288, 628, 628, 288, 660, 1948, 2994, 1948, 660, 1456, 5643, 12417, 12417, 5643, 1456, 3136, 15185, 47501, 70752, 47501, 15185, 3136, 6624, 39029, 166904, 377890, 377890, 166904, 39029, 6624, 13808, 95779, 552444, 1874171

Offset

1,1

Comments

Table starts

....16.....46......120.......288.........660.........1456..........3136

....46....178......628......1948........5643........15185.........39029

...120....628.....2994.....12417.......47501.......166904........552444

...288...1948....12417.....70752......377890......1874171.......8783904

...660...5643....47501....377890.....2931878.....21858973.....157282139

..1456..15185...166904...1874171....21858973....256515598....3001277411

..3136..39029...552444...8783904...157282139...3001277411...59502624140

..6624..95779..1724793..38884279..1084189363..34219649525.1172336263809

.13808.227803..5144350.163704284..7146773223.377305772901

.28480.525427.14696712.657363226.45042182253

Links

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

Formula

Empirical for column k:

k=1: a(n) = 2*a(n-1) +4*a(n-2) -8*a(n-3) -4*a(n-4) +8*a(n-5)

k=2: [order 15]

k=3: [order 37]

k=4: [order 88]

Example

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

Crossrefs

Column 1 is A235549

Sequence in context: A318093 A223029 A244343 * A235555 A069128 A099003

Adjacent sequences: A235769 A235770 A235771 * A235773 A235774 A235775

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 15 2014

Status

approved