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 A223918 T(n,k)=Number of nXk 0..2 arrays with rows and antidiagonals unimodal and columns nondecreasing 13
 3, 9, 6, 22, 36, 10, 46, 158, 100, 15, 86, 548, 666, 225, 21, 148, 1600, 3311, 2111, 441, 28, 239, 4102, 13347, 14123, 5548, 784, 36, 367, 9503, 45988, 74040, 48182, 12752, 1296, 45, 541, 20299, 140236, 323394, 319156, 139925, 26494, 2025, 55, 771, 40570 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts ..3....9.....22......46.......86.......148........239.........367..........541 ..6...36....158.....548.....1600......4102.......9503.......20299........40570 .10..100....666....3311....13347.....45988.....140236......387671.......988447 .15..225...2111...14123....74040....323394....1226491.....4157102.....12856218 .21..441...5548...48182...319156...1721356....7906972....31947798....116289938 .28..784..12752..139925..1147712...7526024...41334135...196691651....831996762 .36.1296..26494..359344..3588729..28247478..183720802..1022160764...4994941017 .45.2025..50863..837243.10031780..93683295..715114500..4620831232..25961964085 .55.3025..91634.1802306.25574524.280338123.2489822632.18558764134.119279565646 .66.4356.156682.3633256.60357024.769012348.7881608430.67311575302.492221386729 LINKS R. H. Hardin, Table of n, a(n) for n = 1..480 FORMULA Empirical: columns k=1..7 are polynomials of degree 2*k for n>0,0,0,1,2,3,4 Empirical: rows n=1..7 are polynomials of degree 4*n EXAMPLE Some solutions for n=3 k=4 ..0..2..1..0....1..2..2..0....0..0..1..0....1..0..0..0....1..0..0..0 ..0..2..1..1....1..2..2..0....0..0..1..1....1..1..1..1....1..0..0..0 ..1..2..1..1....1..2..2..0....0..1..2..1....2..2..2..2....2..2..2..0 CROSSREFS Column 1 is A000217(n+1) Column 2 is A000537(n+1) Row 1 is A223718 Sequence in context: A134693 A096948 A224262 * A224190 A223815 A275414 Adjacent sequences:  A223915 A223916 A223917 * A223919 A223920 A223921 KEYWORD nonn,tabl AUTHOR R. H. Hardin Mar 29 2013 STATUS approved

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Last modified May 27 09:28 EDT 2022. Contains 354096 sequences. (Running on oeis4.)