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 A224391 T(n,k)=Number of nXk 0..3 arrays with diagonals and antidiagonals unimodal and rows nondecreasing 12
 4, 10, 16, 20, 100, 64, 35, 400, 1000, 256, 56, 1225, 6094, 10000, 1024, 84, 3136, 27790, 86701, 100000, 4096, 120, 7056, 102232, 497958, 1268572, 1000000, 16384, 165, 14400, 319769, 2332222, 8573507, 18794636, 10000000, 65536, 220, 27225, 881519 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts .......4..........10...........20.............35..............56 ......16.........100..........400...........1225............3136 ......64........1000.........6094..........27790..........102232 .....256.......10000........86701.........497958.........2332222 ....1024......100000......1268572........8573507........45648753 ....4096.....1000000.....18794636......152271025.......879830242 ...16384....10000000....279128617.....2780848289.....17642791909 ...65536...100000000...4142692993....51325449985....365858453951 ..262144..1000000000..61481903024...949582166068...7713944320142 .1048576.10000000000.912523782542.17572045403455.163629606236587 LINKS R. H. Hardin, Table of n, a(n) for n = 1..198 FORMULA Empirical for column k: k=1: a(n) = 4*a(n-1) k=2: a(n) = 10*a(n-1) k=3: [order 15] k=4: [order 47] Empirical: rows n=1..6 are polynomials of degree 3*n for k>0,0,1,4,7,10 EXAMPLE Some solutions for n=3 k=4 ..0..1..1..1....0..1..1..3....1..2..3..3....2..2..3..3....0..0..0..1 ..2..2..2..2....0..1..3..3....0..2..2..2....0..3..3..3....0..2..2..3 ..1..3..3..3....0..2..3..3....1..1..1..1....0..0..1..2....3..3..3..3 CROSSREFS Column 1 is A000302 Column 2 is A011557 Row 1 is A000292(n+1) Row 2 is A001249 Sequence in context: A334115 A265010 A223961 * A224024 A117111 A310508 Adjacent sequences:  A224388 A224389 A224390 * A224392 A224393 A224394 KEYWORD nonn,tabl AUTHOR R. H. Hardin Apr 05 2013 STATUS approved

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Last modified November 29 21:32 EST 2021. Contains 349416 sequences. (Running on oeis4.)