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

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A302367 T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 2, 3 or 4 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. 13
 1, 1, 2, 1, 2, 4, 1, 12, 2, 8, 1, 20, 31, 3, 16, 1, 72, 20, 109, 6, 32, 1, 168, 154, 77, 397, 10, 64, 1, 496, 284, 918, 209, 1430, 21, 128, 1, 1296, 1109, 3125, 6580, 774, 5110, 42, 256, 1, 3616, 3472, 21831, 26458, 49293, 3143, 18395, 86, 512, 1, 9760, 12763, 125193 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS Table starts ...1..1.....1.....1........1.........1...........1.............1 ...2..2....12....20.......72.......168.........496..........1296 ...4..2....31....20......154.......284........1109..........3472 ...8..3...109....77......918......3125.......21831........125193 ..16..6...397...209.....6580.....26458......405340.......3462040 ..32.10..1430...774....49293....330505.....9361759.....134269527 ..64.21..5110..3143...367512...3858625...188443738....4558781926 .128.42.18395.13556..2856621..48375470..4174802035..169314399506 .256.86.66203.60280.22185382.608124211.91302504318.6186362081201 LINKS R. H. Hardin, Table of n, a(n) for n = 1..180 FORMULA Empirical for column k: k=1: a(n) = 2*a(n-1) k=2: a(n) = 2*a(n-1) +a(n-2) -a(n-3) -2*a(n-4) +a(n-5) k=3: [order 12] k=4: [order 50] for n>53 Empirical for row n: n=1: a(n) = a(n-1) n=2: a(n) = 2*a(n-1) +4*a(n-2) -4*a(n-3) -4*a(n-4) n=3: [order 16] for n>18 n=4: [order 63] for n>66 EXAMPLE Some solutions for n=5 k=4 ..0..1..1..0. .0..1..1..0. .0..0..1..0. .0..0..1..1. .0..1..1..0 ..1..1..1..1. .0..1..1..0. .0..0..1..0. .0..0..1..1. .1..1..1..1 ..0..1..0..0. .1..1..1..1. .0..1..1..1. .0..1..1..0. .1..1..0..0 ..0..1..0..0. .0..0..0..0. .0..0..0..0. .0..0..1..1. .1..1..0..0 ..0..1..0..0. .0..0..0..1. .1..0..0..1. .0..0..1..1. .1..1..0..0 CROSSREFS Column 1 is A000079(n-1). Column 2 is A240513(n-2). Sequence in context: A302212 A302460 A303242 * A303084 A302889 A303624 Adjacent sequences: A302364 A302365 A302366 * A302368 A302369 A302370 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Apr 06 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 July 17 14:36 EDT 2024. Contains 374377 sequences. (Running on oeis4.)