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 A222944 T(n,k) = Number of n X k 0..4 arrays with no element equal to another at a city block distance of exactly two, and new values 0..4 introduced in row major order. 6
 1, 2, 2, 3, 7, 3, 7, 33, 33, 7, 20, 273, 420, 273, 20, 66, 2433, 5880, 5880, 2433, 66, 238, 21873, 82320, 130680, 82320, 21873, 238, 902, 196833, 1152480, 2883000, 2883000, 1152480, 196833, 902, 3510, 1771473, 16134720, 63772920, 100692120, 63772920 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Table starts ......1..........2...........3............7............20.............66 ......2..........7..........33..........273..........2433..........21873 ......3.........33.........420.........5880.........82320........1152480 ......7........273........5880.......130680.......2883000.......63772920 .....20.......2433.......82320......2883000.....100692120.....3510873720 .....66......21873.....1152480.....63772920....3510873720...194281940280 ....238.....196833....16134720...1409319480..122511965400.10720371319680 ....902....1771473...225886080..31155452280.4273149243000 ...3510...15943233..3162405120.688658403000 ..13846..143489073.44273671680 ..54998.1291401633 .219222 LINKS R. H. Hardin, Table of n, a(n) for n = 1..84 FORMULA Empirical for column k: k=1: a(n) = 7*a(n-1) -14*a(n-2) +8*a(n-3) for n > 5; k=2: a(n) = 10*a(n-1) -9*a(n-2) for n > 4; k=3: a(n) = 14*a(n-1) for n > 3; k=4: a(n) = 17*a(n-1) +136*a(n-2) -512*a(n-3) for n > 5; k=5: [order 16 for n > 18]. EXAMPLE Some solutions for n=3, k=4 ..0..0..1..2....0..1..2..3....0..0..1..2....0..1..1..2....0..1..1..2 ..3..4..4..0....4..4..0..0....1..2..3..0....3..3..4..2....2..3..0..0 ..2..1..3..3....2..2..1..1....1..2..4..0....1..0..0..3....4..4..2..3 CROSSREFS Sequence in context: A203362 A183407 A222838 * A222871 A222779 A222894 Adjacent sequences: A222941 A222942 A222943 * A222945 A222946 A222947 KEYWORD nonn,tabl AUTHOR R. H. Hardin Mar 09 2013 STATUS approved

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Last modified December 5 23:11 EST 2023. Contains 367594 sequences. (Running on oeis4.)