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 A223864 T(n,k)=Number of nXk 0..3 arrays with rows and antidiagonals unimodal and columns nondecreasing 13
 4, 16, 10, 50, 100, 20, 130, 684, 400, 35, 296, 3526, 4884, 1225, 56, 610, 14751, 41682, 24199, 3136, 84, 1163, 52591, 273959, 315124, 93731, 7056, 120, 2083, 165212, 1477240, 3017129, 1771012, 303560, 14400, 165, 3544, 468292, 6818350, 22852913 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts ...4....16.......50.......130.........296...........610...........1163 ..10...100......684......3526.......14751.........52591.........165212 ..20...400.....4884.....41682......273959.......1477240........6818350 ..35..1225....24199....315124.....3017129......22852913......144081276 ..56..3136....93731...1771012....23738426.....243933798.....2030417942 ..84..7056...303560...8008548...145947740....1989679315....21476594002 .120.14400...857696..30627033...740441932...13140481520...181330154458 .165.27225..2175884.102479569..3217594840...73068868012..1271807435844 .220.48400..5058530.307435001.12305144319..352040804450..7630189031428 .286.81796.10940664.842078930.42270004211.1502130487437.40055722078772 LINKS R. H. Hardin, Table of n, a(n) for n = 1..312 FORMULA Empirical: columns k=1..7 are polynomials of degree 3*k for n>0,0,0,1,2,4,6 Empirical: rows n=1..7 are polynomials of degree 6*n EXAMPLE Some solutions for n=3 k=4 ..0..0..0..0....0..2..1..1....0..1..3..2....0..2..2..0....0..1..1..3 ..0..0..0..1....0..2..3..1....0..2..3..2....1..3..3..2....0..1..3..3 ..2..3..2..2....0..2..3..3....1..3..3..3....3..3..3..2....1..3..3..3 CROSSREFS Column 1 is A000292(n+1) Column 2 is A001249 Row 1 is A223659 Sequence in context: A067178 A181717 A224173 * A223987 A224123 A273579 Adjacent sequences:  A223861 A223862 A223863 * A223865 A223866 A223867 KEYWORD nonn,tabl AUTHOR R. H. Hardin Mar 28 2013 STATUS approved

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Last modified May 27 21:52 EDT 2020. Contains 334671 sequences. (Running on oeis4.)