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!)
 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: A341800 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 September 25 09:32 EDT 2021. Contains 347654 sequences. (Running on oeis4.)