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

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 56th year, we are closing in on 350,000 sequences, and we’ve crossed 9,700 citations (which often say “discovered thanks to the OEIS”).

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A317465 T(n,k)=Number of nXk 0..1 arrays with every element unequal to 2, 3, 4, 5, 6, 7 or 8 king-move adjacent elements, with upper left element zero. 7
 0, 0, 0, 0, 3, 0, 0, 5, 5, 0, 0, 18, 16, 18, 0, 0, 61, 107, 107, 61, 0, 0, 209, 636, 1429, 636, 209, 0, 0, 702, 3893, 16809, 16809, 3893, 702, 0, 0, 2381, 23769, 203786, 386855, 203786, 23769, 2381, 0, 0, 8069, 145280, 2461839, 9178195, 9178195, 2461839 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,5 COMMENTS Table starts .0....0......0.........0............0..............0.................0 .0....3......5........18...........61............209...............702 .0....5.....16.......107..........636...........3893.............23769 .0...18....107......1429........16809.........203786...........2461839 .0...61....636.....16809.......386855........9178195.........217053933 .0..209...3893....203786......9178195......426934467.......19791556259 .0..702..23769...2461839....217053933....19791556259.....1798167135483 .0.2381.145280..29797355...5142922330...919311610591...163704740864606 .0.8069.887980.360606527.121842389647.42696124087673.14901625879985868 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) k=2: a(n) = 3*a(n-1) +a(n-2) +2*a(n-3) -2*a(n-4) -4*a(n-5) for n>6 k=3: [order 12] for n>14 k=4: [order 28] for n>29 k=5: [order 61] for n>64 EXAMPLE Some solutions for n=5 k=4 ..0..0..1..1. .0..1..1..0. .0..1..0..1. .0..1..0..0. .0..0..1..0 ..1..1..0..0. .0..1..0..1. .0..1..0..1. .0..1..1..1. .1..1..1..1 ..0..0..0..1. .1..1..1..1. .0..1..0..0. .1..0..1..0. .0..1..0..0 ..1..1..0..0. .0..1..0..0. .0..0..1..1. .1..1..1..0. .0..0..1..0 ..0..1..1..1. .1..0..0..1. .1..0..1..0. .0..1..0..1. .1..1..0..1 CROSSREFS Column 2 is A303684. Sequence in context: A316686 A304767 A316511 * A051174 A273089 A330735 Adjacent sequences:  A317462 A317463 A317464 * A317466 A317467 A317468 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Jul 28 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 2 18:09 EST 2021. Contains 349445 sequences. (Running on oeis4.)