The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A301443 T(n,k) = Number of n X k 0..1 arrays with every element equal to 0, 1, 2, 3, 4 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. 7
 1, 2, 2, 4, 8, 4, 8, 32, 32, 8, 16, 128, 232, 128, 16, 32, 512, 1708, 1708, 512, 32, 64, 2048, 12576, 23672, 12576, 2048, 64, 128, 8192, 92616, 327848, 327848, 92616, 8192, 128, 256, 32768, 682084, 4543028, 8525992, 4543028, 682084, 32768, 256, 512, 131072 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Table starts ...1......2........4...........8............16...............32 ...2......8.......32.........128...........512.............2048 ...4.....32......232........1708.........12576............92616 ...8....128.....1708.......23672........327848..........4543028 ..16....512....12576......327848.......8525992........221935656 ..32...2048....92616.....4543028.....221935656......10857946336 ..64...8192...682084....62956480....5777358820.....531234388944 .128..32768..5023328...872451104..150397035552...25991845818768 .256.131072.36995208.12090455460.3915165237488.1271713349901092 LINKS R. H. Hardin, Table of n, a(n) for n = 1..286 FORMULA Empirical for column k: k=1: a(n) = 2*a(n-1); k=2: a(n) = 4*a(n-1); k=3: a(n) = 8*a(n-1) -4*a(n-2) -5*a(n-3); k=4: [order 11]; k=5: [order 31]; k=6: [order 97] for n>98. EXAMPLE Some solutions for n=5, k=4 ..0..0..0..0. .0..0..0..0. .0..0..0..1. .0..0..0..1. .0..0..0..0 ..0..0..1..0. .0..1..1..1. .0..1..0..1. .0..1..0..1. .0..0..1..0 ..1..0..1..0. .0..0..1..1. .0..1..1..1. .1..1..0..1. .1..1..1..0 ..1..0..1..0. .1..0..0..0. .1..0..0..1. .0..1..0..1. .1..0..0..0 ..1..0..0..0. .0..1..0..0. .0..0..0..0. .0..0..0..0. .0..0..1..0 CROSSREFS Column 1 is A000079(n-1). Column 2 is A004171(n-1). Sequence in context: A300215 A300804 A303456 * A302010 A301784 A316808 Adjacent sequences: A301440 A301441 A301442 * A301444 A301445 A301446 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Mar 21 2018 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 October 2 16:33 EDT 2023. Contains 365837 sequences. (Running on oeis4.)