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 A264299 T(n,k)=Number of (n+1)X(k+1) arrays of permutations of 0..(n+1)*(k+1)-1 with each element having directed index change 0,1 0,-2 1,0 or -1,0. 13
 1, 2, 0, 5, 9, 1, 10, 8, 20, 0, 16, 24, 89, 56, 1, 29, 177, 332, 192, 169, 0, 61, 288, 1952, 1672, 1413, 441, 1, 117, 944, 10449, 25080, 14881, 4352, 1258, 0, 212, 4209, 51825, 146688, 297721, 94320, 24781, 3520, 1, 401, 9944, 271385, 1346944, 3890569 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Table starts .1.....2.......5........10.........16..........29..........61.........117 .0.....9.......8........24........177.........288.........944........4209 .1....20......89.......332.......1952.......10449.......51825......271385 .0....56.....192......1672......25080......146688.....1346944....13834555 .1...169....1413.....14881.....297721.....3890569....53407877...839565293 .0...441....4352.....94320....3654505....66462504..1659712320.45752436553 .1..1258...24781....727970...44552352..1510247849.59343473405 .0..3520...90112...5007568..542471200.28497437872 .1..9701..449665..36810037.6626768169 .0.27216.1781256.260065872 LINKS R. H. Hardin, Table of n, a(n) for n = 1..97 FORMULA Empirical for column k: k=1: a(n) = a(n-2) k=2: a(n) = a(n-1) +4*a(n-2) +5*a(n-3) -5*a(n-4) -5*a(n-5) +4*a(n-6) -a(n-7) -a(n-8) k=3: [order 21] Empirical for row n: n=1: a(n) = a(n-1) +3*a(n-3) +a(n-4) +a(n-5) -3*a(n-6) -2*a(n-7) +a(n-9) n=2: [order 35] EXAMPLE Some solutions for n=4 k=4 ..5..0..1..2..9....5..0..4..2..9....5..0..4..8..9....2..0..1..8..9 .10.11..6..3..4....7..1..6..3..8...10..1..2..3.14....7.11..6..3..4 .15.16..7..8.19...15.10.14.12.13...12..6..7.18.13....5.16.14.18.13 .17.21.12.13.14...20.11.16.17.24...20.11.19.17.24...10.21.12.23.24 .22.20.24.18.23...22.23.21.18.19...15.16.21.22.23...15.20.17.22.19 CROSSREFS Sequence in context: A192883 A011435 A139309 * A243445 A227569 A011014 Adjacent sequences:  A264296 A264297 A264298 * A264300 A264301 A264302 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Nov 11 2015 STATUS approved

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Last modified October 14 14:29 EDT 2019. Contains 328018 sequences. (Running on oeis4.)