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A107962 (1/720)(n+1)(n+2)^2*(n+3)(n+4)(5n^2+18n+15). +0
2
1, 19, 142, 665, 2338, 6762, 16968, 38214, 79035, 152581, 278278, 483847, 807716, 1301860, 2035104, 3096924, 4601781, 6694023, 9553390, 13401157, 18506950, 25196270, 33858760, 44957250, 59037615, 76739481, 98807814, 126105427 (list; graph; listen)
OFFSET

0,2

COMMENT

Kekule numbers for certain benzenoids.

REFERENCES

S. J. Cyvin and I. Gutman, Kekule structures in benzenoid hydrocarbons, Lecture Notes in Chemistry, No. 46, Springer, New York, 1988 (p. 229).

FORMULA

O.g.f.: (1+11*x+18*x^2+5*x^3)/(-1+x)^8. - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 07 2008

MAPLE

a:=n->(1/720)*(n+1)*(n+2)^2*(n+3)*(n+4)*(5*n^2+18*n+15): seq(a(n), n=0..30);

CROSSREFS

Sequence in context: A104046 A060104 A110694 this_sequence A002615 A081590 A093646

Adjacent sequences: A107959 A107960 A107961 this_sequence A107963 A107964 A107965

KEYWORD

nonn

AUTHOR

Emeric Deutsch (deutsch(AT)duke.poly.edu), Jun 12 2005

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Last modified December 8 08:31 EST 2009. Contains 170430 sequences.


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