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!)
A060408 Triangle T(n,k) in which n-th row gives numbers of super edge-magic labelings of (n,k)-graphs, for n >= 2, and 1 <= k <= 2n-3. 2
1, 3, 2, 1, 6, 6, 6, 4, 2, 10, 14, 20, 24, 24, 16, 8, 15, 26, 48, 80, 120, 144, 144, 96, 48, 21, 44, 99, 212, 420, 720, 1080, 1296, 1296, 864, 432, 28, 68, 180, 464, 1140, 2520, 5040, 8640, 12960, 15552, 15552, 10368, 5184 (list; graph; refs; listen; history; text; internal format)
OFFSET
2,2
COMMENTS
(n,k)-graphs are simple graphs with n vertices and k edges.
Row indexed n has length 2n-3.
The diagonal counting the super edge-magic labelings of (n,n)-graphs appears to be A077613(n-1).
LINKS
R. M. Figueroa-Centeno et al., The place of super edge-magic labelings among other classes of labelings, Discrete Math., 231 (2001), 153-168.
EXAMPLE
1; 3,2,1; 6,6,6,4,2; 10,14,20,24,24,16,8; ...
PROG
(Magma) A060408 := func< n, k | &+[ Integers() | &*[ Integers() | a[j] : j in [i .. i+k-1] ] : i in [3 .. 2*n-k] ] where a is [ j lt 3 select 0 else j le n+1 select (j-1) div 2 else (2*n-j+1) div 2 : j in [1..2*n-1] ] >; [[ A060408(n, k): k in [1..2*n-3] ]: n in [1..10]];
CROSSREFS
Sequence in context: A114155 A192018 A079513 * A267121 A208518 A139624
KEYWORD
nonn,tabf,easy
AUTHOR
N. J. A. Sloane, Apr 06 2001
EXTENSIONS
Entry T(3,3)=1 (that was erroneously missing from the table of Figueroa-Centeno et al. making the rows appear to be irregular) inserted by, DOI reference provided by, and empirical cross reference for the T(n,n) diagonal observed by Jason Kimberley, Apr 16 2010
STATUS
approved

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 17:25 EDT 2024. Contains 371254 sequences. (Running on oeis4.)