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

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A303325 T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 2, 4, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. 10
 1, 1, 2, 1, 2, 4, 1, 8, 1, 8, 1, 8, 4, 2, 16, 1, 32, 1, 8, 1, 32, 1, 32, 4, 2, 16, 2, 64, 1, 128, 1, 12, 4, 32, 1, 128, 1, 128, 4, 10, 64, 3, 64, 2, 256, 1, 512, 1, 46, 25, 62, 3, 128, 1, 512, 1, 512, 4, 50, 368, 56, 204, 10, 256, 2, 1024, 1, 2048, 1, 204, 201, 758, 136, 744, 9, 512, 1 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS Table starts ...1.1...1..1...1....1.....1.....1.......1........1.........1..........1 ...2.2...8..8..32...32...128...128.....512......512......2048.......2048 ...4.1...4..1...4....1.....4.....1.......4........1.........4..........1 ...8.2...8..2..12...10....46....50.....204......290......1034.......1682 ..16.1..16..4..64...25...368...201....2545.....1855.....21082......17922 ..32.2..32..3..62...56...758...822...11950....15100....206189.....274746 ..64.1..64..3.204..136..2956..3929...69328...130531...2005898....4227664 .128.2.128.10.744..531.15494.24759..629227..1489177..33766564...89782726 .256.1.256..9.900.1035.44101.97205.3531980.11297739.359263250.1265799068 LINKS R. H. Hardin, Table of n, a(n) for n = 1..242 FORMULA Empirical for column k: k=1: a(n) = 2*a(n-1) k=2: a(n) = a(n-2) k=3: a(n) = 2*a(n-1) for n>3 k=4: [order 55] for n>57 k=5: [order 33] for n>35 Empirical for row n: n=1: a(n) = a(n-1) n=2: a(n) = 4*a(n-2) n=3: a(n) = a(n-2) n=4: [order 18] for n>19 n=5: [order 34] for n>35 EXAMPLE All solutions for n=5 k=4 ..0..0..1..1. .0..0..0..1. .0..1..1..1. .0..1..0..1 ..0..0..1..1. .0..0..0..1. .0..1..1..1. .0..1..0..1 ..0..1..0..1. .0..1..0..1. .0..1..0..1. .0..1..0..1 ..0..0..1..1. .0..0..0..1. .0..1..1..1. .0..1..0..1 ..0..0..1..1. .0..0..0..1. .0..1..1..1. .0..1..0..1 CROSSREFS Column 1 is A000079(n-1). Column 3 is A000079(n-1) for n>2. Row 2 is A158302(n+1). Row 3 is A010685(n+8). Sequence in context: A157751 A177701 A119765 * A077901 A105619 A302212 Adjacent sequences:  A303322 A303323 A303324 * A303326 A303327 A303328 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Apr 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 | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified July 25 03:53 EDT 2021. Contains 346283 sequences. (Running on oeis4.)