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 A263506 T(n,k)=Number of (n+1)X(k+1) arrays of permutations of 0..(n+1)*(k+1)-1 filled by rows with each element moved a city block distance of 0 1 or 2, and rows and columns in increasing lexicographic order. 7
 8, 48, 59, 204, 2282, 360, 770, 54924, 78306, 2196, 2687, 1111442, 8349744, 2785493, 13704, 8559, 20380008, 830632993, 1425379543, 101776538, 85189, 25383, 337841109, 77648070968, 714115802545, 255768846517, 3683279274, 528559, 71498 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts .......8...........48............204.............770............2687 ......59.........2282..........54924.........1111442........20380008 .....360........78306........8349744.......830632993.....77648070968 ....2196......2785493.....1425379543....714115802545.337720306039004 ...13704....101776538...255768846517.646202010775260 ...85189...3683279274.45106218220800 ..528559.133026960133 .3280284 LINKS R. H. Hardin, Table of n, a(n) for n = 1..40 FORMULA Empirical for column k: k=1: [linear recurrence of order 15] Empirical for row n: n=1: [linear recurrence of order 13] EXAMPLE Some solutions for n=2 k=4 ..0..1..2..4.14....0..3..6..7..8....0..1..2..3..4....0..1..2..4.14 ..5..7.13..9..3....5.11..9..2.14....5..8..9..7.13....5.12.11..9..3 .10.12..6.11..8...10..1.13.12..4...10..6.11.14.12...10..6..7.13..8 CROSSREFS Sequence in context: A296797 A024108 A247726 * A216323 A335351 A333522 Adjacent sequences:  A263503 A263504 A263505 * A263507 A263508 A263509 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Oct 19 2015 STATUS approved

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Last modified August 6 10:14 EDT 2020. Contains 336245 sequences. (Running on oeis4.)