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A294687 Triangle read by rows, 1 <= k <= n: T(n,k) = non-isomorphic colorings of a toroidal n X k grid using exactly five colors under translational symmetry. 7
0, 0, 0, 0, 300, 92680, 0, 15750, 13794150, 8221452750, 24, 510312, 1686135376, 4495236798162, 11696087875731720, 300, 13794450, 193054017440, 2425003938178050, 30852000867277668428, 403564024914127655401650, 2400, 343501500, 21664357535320, 1317601563731383350, 82985159653854019928352, 5411356249329837891442095560 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,5
COMMENTS
Colors are not being permuted, i.e., Power Group Enumeration does not apply here.
REFERENCES
F. Harary and E. Palmer, Graphical Enumeration, Academic Press, 1973.
LINKS
FORMULA
T(n,k) = (Q!/(n*k))*(Sum_{d|n} Sum_{f|k} phi(d) phi(f) S(gcd(d,f)*(n/d)*(k/f), Q)) with Q=5 and S(n,k) Stirling numbers of the second kind.
CROSSREFS
Sequence in context: A223350 A190880 A063935 * A015275 A051306 A151609
KEYWORD
nonn,tabl,nice
AUTHOR
Marko Riedel, Nov 06 2017
STATUS
approved

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Last modified May 26 08:28 EDT 2024. Contains 372813 sequences. (Running on oeis4.)