A110698 Kekulé numbers for certain benzenoids of trigonal symmetry.

9, 104, 3724, 152978, 6772428, 318919354, 15762420826, 808272767014, 42631956711628, 2298618088718378, 126131492134695474, 7020934326396461014, 395480502329858803674, 22501172037539767125398

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

G. C. Greubel, Table of n, a(n) for n = 0..550

Formula

a(n) = 20*binomial(2n, n)^3 - 18*binomial(2n, n)^2 + 9*binomial(2n, n) - 2.

Maple

A110698 :=n->20*binomial(2*n, n)^3-18*binomial(2*n, n)^2+9*binomial(2*n, n)-2; seq(A110698(n), n=0..16);

Mathematica

Table[20*Binomial[2*n, n]^3 - 18*Binomial[2*n, n]^2 + 9*Binomial[2*n, n] - 2, {n, 0, 50}] (* G. C. Greubel, Sep 06 2017 *)

Prog

(PARI) a(n) = 20*binomial(2*n, n)^3 - 18*binomial(2*n, n)^2 + 9*binomial(2*n, n) - 2; \\ G. C. Greubel, Sep 06 2017

Crossrefs

Sequence in context: A367447 A081461 A231646 * A012485 A052503 A261428

Adjacent sequences: A110695 A110696 A110697 * A110699 A110700 A110701

Keyword

nonn

Author

Emeric Deutsch, Aug 03 2005

Status

approved