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 A264110 T(n,k)=Number of (n+1)X(k+1) arrays of permutations of 0..(n+1)*(k+1)-1 with each element having index change +-(.,.) 0,0 0,2 or 1,1. 10
 2, 9, 4, 45, 40, 8, 144, 441, 169, 16, 512, 2745, 4410, 714, 32, 1936, 21025, 54756, 44100, 3025, 64, 7381, 167464, 911754, 1086300, 441000, 12816, 128, 27225, 1336336, 15437041, 39087504, 21511044, 4410000, 54289, 256, 101250, 10277652, 267205956 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts ...2......9.........45..........144...........512...........1936...........7381 ...4.....40........441.........2745.........21025.........167464........1336336 ...8....169.......4410........54756........911754.......15437041......267205956 ..16....714......44100......1086300......39087504.....1399892079....52292712976 ..32...3025.....441000.....21511044....1680100825...127528266321.10275868913985 ..64..12816....4410000....426058380...72203451849.11613782698504 .128..54289...44100000...8439361956.3103083479700 .256.229970..441000000.167165327340 .512.974169.4410000000 LINKS R. H. Hardin, Table of n, a(n) for n = 1..71 FORMULA Empirical for column k: k=1: a(n) = 2*a(n-1) k=2: a(n) = 4*a(n-1) +4*a(n-3) +a(n-4) k=3: a(n) = 10*a(n-1) for n>2 k=4: a(n) = 19*a(n-1) +304*a(n-3) +256*a(n-4) k=5: [order 14] Empirical for row n: n=1: [linear recurrence of order 14] EXAMPLE Some solutions for n=3 k=4 ..0..3..2..1..4....6..3..4..1..2....6..7..8..1..4....6..3..0..9..4 ..5.12..9.14..7...11..0..9.14..7....5..0..9..2..3....5..8..1..2..7 .10.11..6.13..8...10..5.12.13..8...16.11.10.13.14...16.13.18.11.14 .15.18.19.16.17...15.16.17.18.19...15.18.17.12.19...17.10.15.12.19 CROSSREFS Column 1 is A000079. Sequence in context: A002508 A249596 A038215 * A119019 A268204 A268249 Adjacent sequences:  A264107 A264108 A264109 * A264111 A264112 A264113 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Nov 03 2015 STATUS approved

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Last modified September 23 14:40 EDT 2021. Contains 347618 sequences. (Running on oeis4.)