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 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 7
 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 (list; table; graph; refs; listen; history; text; internal format)
 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

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Last modified January 27 07:48 EST 2022. Contains 350605 sequences. (Running on oeis4.)