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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

Jason Kimberley, Rows n = 2..101 of triangle

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

Adjacent sequences:  A060405 A060406 A060407 * A060409 A060410 A060411

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

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Last modified April 18 10:56 EDT 2021. Contains 343087 sequences. (Running on oeis4.)