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A108681 (n+1)(n+2)^2*(n+3)(n+4)(n+5)(2n+3)/720. +0
1
1, 15, 98, 420, 1386, 3822, 9240, 20196, 40755, 77077, 138138, 236600, 389844, 621180, 961248, 1449624, 2136645, 3085467, 4374370, 6099324, 8376830, 11347050, 15177240, 20065500, 26244855, 33987681, 43610490, 55479088, 70014120 (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.232, # 4).

FORMULA

G.f.=(1+z)(1+6z)/(1-z)^8

MAPLE

G:=factor(sum(a(n)*z^n, n=0..infinity)); series(G, z=0, 37);

CROSSREFS

Adjacent sequences: A108678 A108679 A108680 this_sequence A108682 A108683 A108684

Sequence in context: A052459 A044266 A044647 this_sequence A108254 A000973 A034266

KEYWORD

nonn

AUTHOR

Emeric Deutsch (deutsch(AT)duke.poly.edu), Jun 18 2005

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Last modified October 13 20:18 EDT 2008. Contains 145016 sequences.


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