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A110697
Kekulé numbers for certain benzenoids of trigonal symmetry.
1
2, 35, 1547, 67319, 3028619, 143266535, 7089761447, 363676815215, 19183734561419, 1034368920790919, 56759038335333047, 3159418506105987215, 177966197529849012647, 10125526995020242083599, 581051798159881757979599
OFFSET
0,1
REFERENCES
S. J. Cyvin and I. Gutman, Kekulé structures in benzenoid hydrocarbons, Lecture Notes in Chemistry, No. 46, Springer, New York, 1988 (see p. 313).
LINKS
FORMULA
a(n) = 9*binomial(2n, n)^3 - 12*binomial(2n, n)^2 + 6*binomial(2n, n) - 1.
MAPLE
a:=n->9*binomial(2*n, n)^3-12*binomial(2*n, n)^2+6*binomial(2*n, n)-1; seq(a(n), n=0..16);
MATHEMATICA
Table[9*Binomial[2*n, n]^3 - 12*Binomial[2*n, n]^2 + 6*Binomial[2*n, n] - 1, {n, 0, 50}] (* G. C. Greubel, Sep 06 2017 *)
PROG
(PARI) for(n=0, 25, print1(9*binomial(2n, n)^3 - 12*binomial(2n, n)^2 + 6*binomial(2n, n) - 1, ", ")) \\ G. C. Greubel, Sep 06 2017
CROSSREFS
Sequence in context: A191807 A245052 A266316 * A322514 A132100 A327129
KEYWORD
nonn
AUTHOR
Emeric Deutsch, Aug 03 2005
STATUS
approved