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 A263602 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 or 2, and rows and columns in increasing lexicographic order. 9
 2, 7, 8, 15, 144, 24, 27, 1687, 1962, 60, 55, 13455, 69792, 24091, 160, 109, 105222, 1880912, 2736666, 317857, 448, 199, 747253, 51961032, 248766606, 123176874, 4177099, 1232, 347, 4989566, 1372902790, 25103852988, 40226420700, 5641347668 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts ....2.........7...........15............27.............55...........109 ....8.......144.........1687.........13455.........105222........747253 ...24......1962........69792.......1880912.......51961032....1372902790 ...60.....24091......2736666.....248766606....25103852988.2343241421547 ..160....317857....123176874...40226420700.14573046651208 ..448...4177099...5641347668.6430889476830 .1232..54493144.249947653938 .3344.712019936 .9120 LINKS R. H. Hardin, Table of n, a(n) for n = 1..49 FORMULA Empirical for column k: k=1: a(n) = 2*a(n-1) +4*a(n-3) +4*a(n-4) k=2: [order 53] Empirical for row n: n=1: a(n) = 3*a(n-1) -3*a(n-2) +2*a(n-3) -a(n-4) -a(n-5) +a(n-6) for n>8 n=2: [order 73] for n>77 EXAMPLE Some solutions for n=3 k=4 ..0..1..2..3..4....0..1..2..7.14....0..1..2..3.14....0..1..2..3..4 ..5..6.11.18..9....5.12.13.18..3....5.12.11..6..9....5.12.17..6..9 .10..7.16.19..8...10.17..6.19..4...10..7.16.19..4...10.13.18..7..8 .15.12.13.14.17...15.16.11..8..9...15.18.17..8.13...15.16.11.14.19 CROSSREFS Sequence in context: A023178 A334227 A080572 * A162664 A341706 A032689 Adjacent sequences: A263599 A263600 A263601 * A263603 A263604 A263605 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Oct 22 2015 STATUS approved

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Last modified December 8 17:58 EST 2023. Contains 367680 sequences. (Running on oeis4.)