The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A264520 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 -1,0 0,2 -1,-2 or 1,0. 12
 1, 1, 0, 1, 0, 1, 2, 1, 3, 0, 4, 2, 9, 0, 1, 6, 4, 42, 36, 12, 0, 9, 8, 196, 228, 144, 0, 1, 12, 16, 644, 1444, 1644, 576, 46, 0, 16, 32, 2116, 8018, 18769, 10368, 2116, 0, 1, 24, 64, 6854, 44521, 169195, 186624, 65182, 8281, 177, 0, 36, 128, 22201, 258264, 1525225 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,7 COMMENTS Table starts .1...1......1........2..........4............6..............9...............12 .0...0......1........2..........4............8.............16...............32 .1...3......9.......42........196..........644...........2116.............6854 .0...0.....36......228.......1444.........8018..........44521...........258264 .1..12....144.....1644......18769.......169195........1525225.........14158040 .0...0....576....10368.....186624......2856816.......43731769........696507612 .1..46...2116....65182....2007889.....50099452.....1250046736......33040712340 .0...0...8281...414414...20738916....868998834....36412654041....1611878726112 .1.177..31329..2603670..216384100..14882827790..1023636039001...75733369600339 .0...0.121801.16540506.2246191236.256959272592.29395568245824.3617985452054688 LINKS R. H. Hardin, Table of n, a(n) for n = 1..160 FORMULA Empirical for column k: k=1: a(n) = a(n-2) k=2: a(n) = 6*a(n-2) -11*a(n-4) +13*a(n-6) -11*a(n-8) +6*a(n-10) -a(n-12) k=3: [order 19] k=4: [order 84] k=5: [order 90] Empirical for row n: n=1: a(n) = a(n-1) +a(n-3) -a(n-4) +a(n-5) +a(n-6) -a(n-9) n=2: a(n) = 2*a(n-1) EXAMPLE Some solutions for n=4 k=4 ..7..8..9..1..2....7..8..0..1..2....7..8..0..1..2....5..8..7..1..2 ..0.13.14..3..4...10.11.14..3..4...10.11.12..3..4....0.13.14..3..4 ..5..6.10.18.12....5..6.17.18..9....5..6.19.18..9...17..6.10.11..9 .20.11.22.23.24...22.23.12.13.24...20.23.24.13.14...22.21.12.23.24 .15.16.17.21.19...15.16.20.21.19...15.16.17.21.22...15.16.20.18.19 CROSSREFS Row 1 is A224809(n+1). Row 2 is A000079(n-3). Sequence in context: A088002 A030109 A208571 * A058208 A070817 A231347 Adjacent sequences:  A264517 A264518 A264519 * A264521 A264522 A264523 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Nov 16 2015 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified June 20 06:56 EDT 2021. Contains 345157 sequences. (Running on oeis4.)