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!)
 A301323 T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 1, 2, 5 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. 5
 1, 2, 2, 4, 7, 4, 8, 18, 18, 8, 16, 50, 45, 50, 16, 32, 138, 116, 116, 138, 32, 64, 383, 293, 302, 293, 383, 64, 128, 1063, 735, 726, 726, 735, 1063, 128, 256, 2951, 1844, 1709, 1649, 1709, 1844, 2951, 256, 512, 8193, 4626, 3996, 3649, 3649, 3996, 4626, 8193, 512 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Table starts ...1....2.....4.....8....16....32.....64....128....256....512....1024....2048 ...2....7....18....50...138...383...1063...2951...8193..22748...63161..175370 ...4...18....45...116...293...735...1844...4626..11611..29151...73200..183828 ...8...50...116...302...726..1709...3996...9346..21891..51367..120680..283746 ..16..138...293...726..1649..3649...8035..17751..39436..88008..197077..442264 ..32..383...735..1709..3649..7600..15802..33150..70311.150532..324443..702447 ..64.1063..1844..3996..8035.15802..31172..62375.126931.262036..546825.1149471 .128.2951..4626..9346.17751.33150..62375.119694.234839.469777..953721.1956225 .256.8193.11611.21891.39436.70311.126931.234839.446581.869959.1726691.3472128 LINKS R. H. Hardin, Table of n, a(n) for n = 1..612 FORMULA Empirical for column k: k=1: a(n) = 2*a(n-1) k=2: a(n) = 3*a(n-1) -a(n-2) +a(n-3) +a(n-4) -2*a(n-5) -a(n-6) k=3: a(n) = 4*a(n-1) -3*a(n-2) -3*a(n-3) +2*a(n-4) +3*a(n-5) -2*a(n-6) for n>8 k=4: a(n) = 4*a(n-1) -4*a(n-2) +2*a(n-5) -3*a(n-7) +2*a(n-8) +a(n-9) -a(n-10) for n>13 k=5: [order 14] for n>16 k=6: [order 15] for n>19 k=7: [order 23] for n>28 EXAMPLE Some solutions for n=5 k=4 ..0..0..1..1. .0..0..1..0. .0..1..0..1. .0..1..1..0. .0..0..1..0 ..0..1..0..0. .0..1..0..1. .0..1..0..1. .0..0..1..1. .1..0..1..1 ..1..0..1..0. .1..0..1..0. .0..1..0..0. .1..0..0..1. .1..0..0..1 ..0..1..0..1. .1..0..1..1. .0..1..1..0. .1..1..0..1. .1..1..0..1 ..1..0..1..0. .1..0..0..0. .0..0..1..0. .0..1..1..0. .0..0..1..0 CROSSREFS Column 1 is A000079(n-1). Column 2 is A280598. Column 3 is A280599. Column 4 is A280600. Sequence in context: A299682 A300314 A280604 * A300498 A300937 A300881 Adjacent sequences:  A301320 A301321 A301322 * A301324 A301325 A301326 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Mar 18 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 September 23 16:41 EDT 2020. Contains 337315 sequences. (Running on oeis4.)