This site is supported by donations to The OEIS Foundation.

 Please make a donation to keep the OEIS running. We are now in our 55th year. In the past year we added 12000 new sequences and reached 8000 citations (which often say "discovered thanks to the OEIS"). We need to raise money to hire someone to manage submissions, which would reduce the load on our editors and speed up editing. Other ways to donate

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A299612 T(n,k)=Number of nXk 0..1 arrays with every element equal to 1, 2, 4, 6, 7 or 8 king-move adjacent elements, with upper left element zero. 5
 0, 1, 1, 1, 3, 1, 2, 7, 7, 2, 3, 13, 15, 13, 3, 5, 23, 19, 19, 23, 5, 8, 49, 23, 40, 23, 49, 8, 13, 95, 34, 85, 85, 34, 95, 13, 21, 177, 63, 173, 179, 173, 63, 177, 21, 34, 359, 96, 322, 453, 453, 322, 96, 359, 34, 55, 705, 147, 635, 1006, 1223, 1006, 635, 147, 705, 55, 89, 1351 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,5 COMMENTS Table starts ..0...1...1....2....3.....5......8......13......21.......34........55 ..1...3...7...13...23....49.....95.....177.....359......705......1351 ..1...7..15...19...23....34.....63......96.....147......233.......368 ..2..13..19...40...85...173....322.....635....1325.....2806......5877 ..3..23..23...85..179...453...1006....2523....6002....14802.....36299 ..5..49..34..173..453..1223...3286....9873...28227....86428....253623 ..8..95..63..322.1006..3286..13490...49047..183585...713699...2714170 .13.177..96..635.2523..9873..49047..231838.1084038..5339757..25938953 .21.359.147.1325.6002.28227.183585.1084038.6506278.41165944.255972254 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) +a(n-2) k=2: a(n) = 3*a(n-1) -2*a(n-2) +4*a(n-3) -10*a(n-4) +4*a(n-5) for n>6 k=3: [order 18] for n>19 k=4: [order 72] for n>73 EXAMPLE Some solutions for n=6 k=6 ..0..1..1..1..0..1. .0..1..1..0..0..0. .0..1..0..1..0..0. .0..1..0..1..1..0 ..0..0..1..1..1..0. .0..0..0..0..0..1. .0..1..0..1..0..1. .0..1..0..0..0..0 ..1..1..1..1..1..1. .0..0..0..0..1..0. .1..1..1..1..1..1. .0..1..0..0..0..0 ..0..0..1..1..1..1. .1..0..0..0..0..1. .0..0..1..1..1..1. .1..0..0..0..0..1 ..1..1..1..0..0..1. .0..1..0..1..0..1. .1..1..1..1..1..0. .1..0..1..0..0..1 ..0..0..1..0..1..1. .0..1..0..1..0..0. .0..0..1..1..0..1. .0..1..0..1..0..1 CROSSREFS Column 1 is A000045(n-1). Column 2 is A297852. Column 3 is A298050. Column 4 is A298656. Sequence in context: A298055 A298888 A298660 * A297959 A298775 A298582 Adjacent sequences:  A299609 A299610 A299611 * A299613 A299614 A299615 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Feb 14 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 December 15 17:03 EST 2019. Contains 330000 sequences. (Running on oeis4.)