

A294687


Triangle read by rows, 1 <= k <= n: T(n,k) = nonisomorphic 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
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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_{dn} Sum_{fk} 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



KEYWORD



AUTHOR



STATUS

approved



