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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 6
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 (list; table; graph; refs; listen; history; text; internal format)
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
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
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Jan 15 2014
STATUS
approved

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Last modified February 21 13:52 EST 2024. Contains 370235 sequences. (Running on oeis4.)