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 A223933 T(n,k)=Number of nXk 0..2 arrays with rows, columns and antidiagonals unimodal and diagonals nondecreasing 8
 3, 9, 9, 22, 54, 22, 46, 218, 218, 46, 86, 698, 1116, 698, 86, 148, 1915, 4498, 4498, 1915, 148, 239, 4690, 15791, 21334, 15791, 4690, 239, 367, 10511, 49646, 86439, 86439, 49646, 10511, 367, 541, 21919, 142177, 316136, 386495, 316136, 142177, 21919, 541 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts ...3.....9......22.......46........86........148........239.........367 ...9....54.....218......698......1915.......4690......10511.......21919 ..22...218....1116.....4498.....15791......49646.....142177......375777 ..46...698....4498....21334.....86439.....316136....1065625.....3337831 ..86..1915...15791....86439....386495....1548633....5773556....20277077 .148..4690...49646...316136...1548633....6621074...26250443....98910688 .239.10511..142177..1065625...5773556...26250443..108796955...427868778 .367.21919..375777..3337831..20277077...98910688..427868778..1735753333 .541.43045..926559..9773219..67308910..356869229.1623374603..6788778441 .771.80334.2150622.26903878.211460339.1233491661.5968786086.25890527027 LINKS R. H. Hardin, Table of n, a(n) for n = 1..180 FORMULA Empirical: columns k=1..6 are polynomials of degree 4*k for n>0,0,3,6,9,12 EXAMPLE Some solutions for n=3 k=4 ..0..0..2..1....0..0..0..1....0..1..1..2....2..2..2..2....1..1..0..0 ..0..1..1..2....0..2..1..1....0..0..2..2....1..2..2..2....1..1..1..2 ..0..1..1..2....0..2..2..2....0..0..2..2....1..2..2..2....0..1..2..1 CROSSREFS Column 1 is A223718 Sequence in context: A203600 A099720 A183149 * A224057 A224310 A224374 Adjacent sequences: A223930 A223931 A223932 * A223934 A223935 A223936 KEYWORD nonn,tabl AUTHOR R. H. Hardin Mar 29 2013 STATUS approved

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Last modified December 4 02:16 EST 2022. Contains 358544 sequences. (Running on oeis4.)