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

 Please make a donation to keep the OEIS running. We are now in our 56th year. In the past year we added 10000 new sequences and reached almost 9000 citations (which often say "discovered thanks to the OEIS"). Other ways to donate

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A304058 T(n,k)=Number of nXk 0..1 arrays with every element unequal to 1, 2, 4 or 5 king-move adjacent elements, with upper left element zero. 8
 0, 1, 1, 1, 3, 1, 2, 11, 11, 2, 3, 10, 6, 10, 3, 5, 51, 18, 18, 51, 5, 8, 165, 32, 26, 32, 165, 8, 13, 306, 60, 155, 155, 60, 306, 13, 21, 993, 124, 427, 596, 427, 124, 993, 21, 34, 2867, 288, 1122, 1641, 1641, 1122, 288, 2867, 34, 55, 6818, 598, 4109, 5415, 3434, 5415 (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 ..1....3..11....10.....51....165.....306......993......2867.......6818 ..1...11...6....18.....32.....60.....124......288.......598.......1266 ..2...10..18....26....155....427....1122.....4109.....13836......42480 ..3...51..32...155....596...1641....5415....30207....124598.....500772 ..5..165..60...427...1641...3434...13624....69126....260517....1102813 ..8..306.124..1122...5415..13624...77360...478889...2630794...17166221 .13..993.288..4109..30207..69126..478889..4890117..30295907..239161610 .21.2867.598.13836.124598.260517.2630794.30295907.181435839.1835718615 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) = a(n-1) +3*a(n-2) +8*a(n-3) -4*a(n-4) -16*a(n-5) for n>6 k=3: [order 15] for n>18 k=4: [order 57] for n>60 EXAMPLE Some solutions for n=5 k=4 ..0..0..1..0. .0..1..0..1. .0..1..1..0. .0..0..1..0. .0..0..0..1 ..1..0..0..1. .0..0..1..1. .0..1..1..0. .1..0..0..1. .1..0..0..1 ..0..0..0..0. .0..1..1..1. .0..0..0..0. .0..0..0..0. .0..0..0..0 ..1..0..0..1. .0..1..1..0. .0..0..0..0. .1..0..0..1. .1..0..0..1 ..0..0..0..1. .1..1..1..1. .0..1..1..0. .1..0..0..0. .0..1..0..0 CROSSREFS Column 1 is A000045(n-1). Sequence in context: A116854 A331692 A016567 * A305452 A304704 A316455 Adjacent sequences:  A304055 A304056 A304057 * A304059 A304060 A304061 KEYWORD nonn,tabl AUTHOR R. H. Hardin, May 05 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 November 27 04:07 EST 2020. Contains 338677 sequences. (Running on oeis4.)