The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A268079 T(n,k)=Number of nXk nonnegative integer arrays with new values introduced in each row and column in sequential order starting with zero. 6
 1, 1, 1, 1, 2, 1, 1, 4, 4, 1, 1, 8, 18, 8, 1, 1, 16, 86, 86, 16, 1, 1, 32, 422, 1094, 422, 32, 1, 1, 64, 2094, 15106, 15106, 2094, 64, 1, 1, 128, 10438, 216734, 637358, 216734, 10438, 128, 1, 1, 256, 52126, 3168306, 29309170, 29309170, 3168306, 52126, 256, 1, 1, 512 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,5 COMMENTS Table starts .1...1......1.........1.............1.................1.....................1 .1...2......4.........8............16................32....................64 .1...4.....18........86...........422..............2094.................10438 .1...8.....86......1094.........15106............216734...............3168306 .1..16....422.....15106........637358..........29309170............1412290158 .1..32...2094....216734......29309170........4617638834..........795460720710 .1..64..10438...3168306....1412290158......795460720710.......517992936833258 .1.128..52126..46777214...69903748498...144635795908942....369867566612849678 .1.256.260502.694585586.3516426536462.27199854725237562.280350778114908738774 LINKS R. H. Hardin, Table of n, a(n) for n = 1..220 FORMULA Empirical for column k: k=1: a(n) = a(n-1) k=2: a(n) = 2*a(n-1) k=3: a(n) = 7*a(n-1) -10*a(n-2) k=4: a(n) = 36*a(n-1) -463*a(n-2) +2640*a(n-3) -6700*a(n-4) +6000*a(n-5) k=5: [order 14] k=6: [order 45] EXAMPLE Some solutions for n=4 k=4 ..0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0 ..0..1..0..1....0..0..0..0....0..1..0..1....0..1..1..0....0..0..1..0 ..0..1..1..1....0..1..1..1....0..0..1..2....0..0..1..0....0..0..1..1 ..0..0..1..2....0..1..2..1....0..1..1..0....0..1..0..0....0..0..0..1 CROSSREFS Column 2 is A000079(n-1). Column 3 is A082685(n-1). Sequence in context: A331406 A034372 A268056 * A202549 A155971 A176480 Adjacent sequences: A268076 A268077 A268078 * A268080 A268081 A268082 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Jan 25 2016 STATUS approved

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

Last modified May 21 22:16 EDT 2024. Contains 372741 sequences. (Running on oeis4.)