The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

Thanks to everyone who made a donation during our annual appeal!
To see the list of donors, or make a donation, see the OEIS Foundation home page.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 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: A310507 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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified January 17 18:14 EST 2020. Contains 330987 sequences. (Running on oeis4.)