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A110698 Kekule numbers for certain benzenoids of trigonal symmetry. +0
1
9, 104, 3724, 152978, 6772428, 318919354, 15762420826, 808272767014, 42631956711628, 2298618088718378, 126131492134695474, 7020934326396461014, 395480502329858803674, 22501172037539767125398 (list; graph; listen)
OFFSET

0,1

REFERENCES

S. J. Cyvin and I. Gutman, Kekule structures in benzenoid hydrocarbons, Lecture Notes in Chemistry, No. 46, Springer, New York, 1988 (see p 313).

FORMULA

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

MAPLE

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

CROSSREFS

Sequence in context: A007133 A083452 A081461 this_sequence A012485 A052503 A122569

Adjacent sequences: A110695 A110696 A110697 this_sequence A110699 A110700 A110701

KEYWORD

nonn

AUTHOR

Emeric Deutsch (deutsch(AT)duke.poly.edu), Aug 03 2005

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Last modified November 23 17:09 EST 2009. Contains 167438 sequences.


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