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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 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

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