login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A223344 T(n,k)=5X5X5 triangular graph coloring a rectangular array: number of nXk 0..14 arrays where 0..14 label nodes of a graph with edges 0,1 0,2 1,2 1,3 1,4 2,4 3,4 2,5 4,5 3,6 3,7 4,7 6,7 4,8 5,8 7,8 5,9 8,9 6,10 6,11 7,11 10,11 7,12 8,12 11,12 11,12 8,13 9,13 12,13 9,14 13,14 and every array movement to a horizontal or vertical neighbor moves along an edge of this graph 8

%I #4 Mar 19 2013 12:45:46

%S 15,60,60,264,612,264,1176,6696,6696,1176,5280,74736,190740,74736,

%T 5280,23712,840456,5514360,5514360,840456,23712,106560,9474840,

%U 161370036,419434596,161370036,9474840,106560,478848,106904016,4730218284

%N T(n,k)=5X5X5 triangular graph coloring a rectangular array: number of nXk 0..14 arrays where 0..14 label nodes of a graph with edges 0,1 0,2 1,2 1,3 1,4 2,4 3,4 2,5 4,5 3,6 3,7 4,7 6,7 4,8 5,8 7,8 5,9 8,9 6,10 6,11 7,11 10,11 7,12 8,12 11,12 11,12 8,13 9,13 12,13 9,14 13,14 and every array movement to a horizontal or vertical neighbor moves along an edge of this graph

%C Table starts

%C ......15...........60..............264.................1176

%C ......60..........612.............6696................74736

%C .....264.........6696...........190740..............5514360

%C ....1176........74736..........5514360............419434596

%C ....5280.......840456........161370036..........32292951660

%C ...23712......9474840.......4730218284........2496237714588

%C ..106560....106904016.....138947808456......193291992449808

%C ..478848...1206530100....4081817304888....14976739459479096

%C .2151936..13618313028..119957730775764..1160751100183303776

%C .9670656.153717108696.3525232400391672.89971810635836546940

%H R. H. Hardin, <a href="/A223344/b223344.txt">Table of n, a(n) for n = 1..144</a>

%F Empirical for column k:

%F k=1: a(n) = 4*a(n-1) +4*a(n-2) -8*a(n-3)

%F k=2: a(n) = 13*a(n-1) -11*a(n-2) -94*a(n-3) -7*a(n-4) +79*a(n-5) -3*a(n-6)

%F k=3: [order 30]

%e Some solutions for n=3 k=4

%e ..7..3..7..4....7.11..6..3....7..4..5..4....7..3..7..8....7..3..7..3

%e ..3..1..4..7....3..6.11..7....3..7..4..1....3..4..8..4....3..1..3..7

%e ..1..4..7..8....1..3..7.11....7..4..1..0....4..8..9..8....6..3..4..8

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_ Mar 19 2013

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified March 28 18:04 EDT 2024. Contains 371254 sequences. (Running on oeis4.)