This site is supported by donations to The OEIS Foundation.

 Please make a donation to keep the OEIS running. We are now in our 55th year. In the past year we added 12000 new sequences and reached 8000 citations (which often say "discovered thanks to the OEIS"). We need to raise money to hire someone to manage submissions, which would reduce the load on our editors and speed up editing. Other ways to donate

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A264003 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 1,2 or 1,0. 9
 4, 18, 9, 81, 99, 25, 288, 1089, 925, 64, 1024, 8679, 34225, 7304, 169, 3872, 69169, 791245, 833569, 62101, 441, 14641, 568343, 18292729, 50616720, 22819729, 516117, 1156, 54450, 4669921, 457981160, 3073593600, 3817152613, 604028929, 4331090 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts ....4.......18..........81..........288.........1024.........3872 ....9.......99........1089.........8679........69169.......568343 ...25......925.......34225.......791245.....18292729....457981160 ...64.....7304......833569.....50616720...3073593600.209279846160 ..169....62101....22819729...3817152613.638511266761 ..441...516117...604028929.271516496545 .1156..4331090.16226938225 .3025.36234055 .7921 LINKS R. H. Hardin, Table of n, a(n) for n = 1..49 FORMULA Empirical for column k: k=1: a(n) = 2*a(n-1) +2*a(n-2) -a(n-3) k=2: a(n) = 5*a(n-1) +37*a(n-2) -44*a(n-3) -256*a(n-4) +64*a(n-5) +256*a(n-6) k=3: a(n) = 29*a(n-1) +36*a(n-2) -2832*a(n-3) +6656*a(n-4) +24576*a(n-5) -65536*a(n-6) k=4: [order 30] Empirical for row n: n=1: a(n) = 4*a(n-1) -4*a(n-2) +12*a(n-3) -12*a(n-5) +4*a(n-6) -4*a(n-7) +a(n-8) n=2: [order 16] EXAMPLE Some solutions for n=3 k=4 ..0..8..2..3..9....0..6..7..8..4....0..1..2..3..7....0..1..2..6..7 ..5..1..4.13.12....5..3..2..1.12....5.13..4.11.14....5.13..4..3.12 .10.18..7..6.14...10.16.19.18..9...10..6.12..8..9...17.16..9..8.14 .15.16.17.11.19...15.13.17.11.14...15.16.17.18.19...15.11.10.18.19 CROSSREFS Column 1 is A007598(n+2). Sequence in context: A158320 A236563 A264207 * A077109 A070923 A064220 Adjacent sequences:  A264000 A264001 A264002 * A264004 A264005 A264006 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Oct 31 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 December 13 06:26 EST 2019. Contains 329968 sequences. (Running on oeis4.)