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!)
 A282528 T(n,k)=Number of nXk 0..1 arrays with no 1 equal to more than two of its king-move neighbors. 8
 2, 4, 4, 8, 15, 8, 16, 43, 43, 16, 32, 144, 206, 144, 32, 64, 473, 1097, 1097, 473, 64, 128, 1529, 5675, 10041, 5675, 1529, 128, 256, 5004, 29433, 86258, 86258, 29433, 5004, 256, 512, 16335, 153037, 747184, 1207312, 747184, 153037, 16335, 512, 1024, 53283 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts ....2......4........8.........16...........32..............64...............128 ....4.....15.......43........144..........473............1529..............5004 ....8.....43......206.......1097.........5675...........29433............153037 ...16....144.....1097......10041........86258..........747184...........6509805 ...32....473.....5675......86258......1207312........17100576.........243903065 ...64...1529....29433.....747184.....17100576.......398640091........9355397095 ..128...5004...153037....6509805....243903065......9355397095......361721564040 ..256..16335...794716...56491269...3461268322....218250094269....13881707109180 ..512..53283..4128244..490864610..49204976763...5103468618577...534350790960907 .1024.173960.21444844.4264923086.699393940820.119296756793024.20559180796734866 LINKS R. H. Hardin, Table of n, a(n) for n = 1..312 FORMULA Empirical for column k: k=1: a(n) = 2*a(n-1) k=2: a(n) = 3*a(n-1) +a(n-2) +2*a(n-3) -8*a(n-4) k=3: a(n) = 5*a(n-1) +2*a(n-2) -a(n-3) -24*a(n-4) +13*a(n-5) -2*a(n-7) +6*a(n-8) k=4: [order 14] k=5: [order 31] k=6: [order 68] EXAMPLE Some solutions for n=4 k=4 ..0..1..0..1. .1..0..0..0. .0..0..0..0. .0..1..0..1. .1..1..0..1 ..1..1..0..1. .1..1..0..0. .0..1..1..1. .0..0..0..1. .0..0..0..0 ..0..0..0..0. .0..0..0..1. .0..0..0..0. .0..0..0..1. .0..0..0..0 ..1..0..1..1. .1..1..1..0. .0..0..0..1. .0..0..0..1. .0..1..1..1 CROSSREFS Column 1 is A000079. Sequence in context: A216950 A240364 A225982 * A297094 A283282 A181253 Adjacent sequences:  A282525 A282526 A282527 * A282529 A282530 A282531 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Feb 17 2017 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 June 23 16:47 EDT 2021. Contains 345402 sequences. (Running on oeis4.)