A235555 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 rowwise and columnwise

16, 46, 46, 120, 202, 120, 288, 814, 814, 288, 660, 2878, 5567, 2878, 660, 1456, 9320, 33851, 33851, 9320, 1456, 3136, 27731, 184281, 378570, 184281, 27731, 3136, 6624, 77606, 892122, 3824372, 3824372, 892122, 77606, 6624, 13808, 205571, 3925717

Offset

1,1

Comments

Table starts

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

....46.....202.......814........2878..........9320..........27731

...120.....814......5567.......33851........184281.........892122

...288....2878.....33851......378570.......3824372.......33823017

...660....9320....184281.....3824372......74362722.....1271453587

..1456...27731....892122....33823017....1271453587....42883865335

..3136...77606...3925717...265989722...19182239308..1280647786349

..6624..205571..15834473..1875119528..256273383832.33729294480195

.13808..522118..59506551.12064334056.3086943812776

.28480.1277701.209811804.71470709789

Links

R. H. Hardin, Table of n, a(n) for n = 1..97

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 19]

k=3: [order 55]

Example

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

Crossrefs

Sequence in context: A223029 A244343 A235772 * A069128 A099003 A124709

Adjacent sequences: A235552 A235553 A235554 * A235556 A235557 A235558

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 12 2014

Status

approved