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 A254422 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock diagonal maximum minus antidiagonal maximum nondecreasing horizontally, vertically and ne-to-sw antidiagonally 14
 81, 470, 470, 2180, 3279, 2180, 9623, 25589, 26783, 9623, 42669, 229652, 423141, 238639, 42669, 192393, 2128339, 6880359, 6683795, 2182689, 192393, 876277, 19879926, 109896298, 199339608, 106821947, 20251190, 876277, 4010555 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts .....81.......470........2180..........9623...........42669.............192393 ....470......3279.......25589........229652.........2128339...........19879926 ...2180.....26783......423141.......6880359.......109896298.........1753478415 ...9623....238639.....6683795.....199339608......5865501284.......176249310185 ..42669...2182689...106821947....5909079229....310310891535.....16806656467840 .192393..20251190..1701224592..176730239629..16692762023274...1673449182032706 .876277.189197280.27127649888.5319044439319.894001153490556.164418838931876650 LINKS R. H. Hardin, Table of n, a(n) for n = 1..180 FORMULA Empirical for column k: k=1: [linear recurrence of order 6] for n>13 k=2: [order 11] for n>17 k=3: [order 25] for n>30 k=4: [order 60] for n>66 Empirical for row n: n=1: [same recurrence of order 6] for n>13 n=2: [same order 11] for n>18 n=3: [same order 25] for n>32 n=4: [order 59] for n>67 EXAMPLE Some solutions for n=2 k=4 ..0..1..2..0..1....1..1..0..2..0....0..1..1..1..0....1..0..2..0..1 ..2..0..2..2..2....0..1..1..2..1....2..2..2..2..2....2..1..2..1..1 ..2..0..2..1..2....1..1..1..2..1....2..2..1..0..2....2..1..2..1..1 CROSSREFS Column 1 and row 1 are A253517 Sequence in context: A236349 A334036 A253524 * A253517 A237683 A236640 Adjacent sequences: A254419 A254420 A254421 * A254423 A254424 A254425 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Jan 30 2015 STATUS approved

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Last modified April 23 18:16 EDT 2024. Contains 371916 sequences. (Running on oeis4.)