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 A263519 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 1, and rows and columns in increasing lexicographic order. 14
 3, 7, 8, 15, 35, 23, 29, 160, 208, 66, 53, 660, 2076, 1198, 190, 93, 2651, 18369, 25968, 7022, 547, 159, 10350, 158109, 489294, 331130, 41035, 1575, 267, 39807, 1317780, 9051857, 13332096, 4213002, 240237, 4535, 443, 151463, 10791350, 162207955 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts .....3.......7.........15............29...............53..................93 .....8......35........160...........660.............2651...............10350 ....23.....208.......2076.........18369...........158109.............1317780 ....66....1198......25968........489294..........9051857...........162207955 ...190....7022.....331130......13332096........529329240.........20339400914 ...547...41035....4213002.....362159570......30867389241.......2543460828164 ..1575..240237...53712998....9866744449....1805523575884.....319022980139204 ..4535.1406038..684799391..268827612021..105637731091773...40028581755172441 .13058.8230727.8732881192.7327820172316.6184312882582853.5025951440933512579 LINKS R. H. Hardin, Table of n, a(n) for n = 1..144 FORMULA Empirical for column k: k=1: a(n) = 3*a(n-1) -a(n-3) k=2: [order 10] k=3: [order 35] Empirical for row n: n=1: a(n) = 3*a(n-1) -2*a(n-2) -a(n-3) +a(n-4) n=2: [order 10] n=3: [order 29] n=4: [order 92] EXAMPLE Some solutions for n=3 k=4 ..0..1..7..8..9....0..1..7..8..9....0..1..2..3..4....0..1..2..4..9 ..6..5..2..3..4...10..5..2..3..4....5..6..8..7..9....5..7..6..3..8 .10.12.11.13.19...11..6.12.13.14...15.10.13.12.14...10.12.11.14.13 .15.17.16.18.14...15.16.17.19.18...16.11.18.17.19...15.16.17.18.19 CROSSREFS Column 1 is A147704(n+1). Row 1 is A192960. Sequence in context: A249435 A192120 A031404 * A105263 A242572 A136136 Adjacent sequences: A263516 A263517 A263518 * A263520 A263521 A263522 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Oct 19 2015 STATUS approved

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Last modified June 2 20:13 EDT 2023. Contains 363100 sequences. (Running on oeis4.)