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A108673 (n+1)(n+2)(n+3)(2n+3)(10n^2+27n+20)/360. +0
1
1, 19, 133, 573, 1848, 4914, 11382, 23766, 45771, 82621, 141427, 231595, 365274, 557844, 828444, 1200540, 1702533, 2368407, 3238417, 4359817, 5787628, 7585446, 9826290, 12593490, 15981615, 20097441, 25060959, 31006423, 38083438, 46458088 (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.231, # 31).

FORMULA

G.f.=(1+12z+21z^2+6z^3)/(1-z)^7

MAPLE

a:=n->(n+1)*(n+2)*(n+3)*(2*n+3)*(10*n^2+27*n+20)/360: seq(a(n), n=0..32);

CROSSREFS

Sequence in context: A142649 A020867 A022679 this_sequence A041692 A078977 A085464

Adjacent sequences: A108670 A108671 A108672 this_sequence A108674 A108675 A108676

KEYWORD

nonn

AUTHOR

Emeric Deutsch (deutsch(AT)duke.poly.edu), Jun 17 2005

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Last modified August 29 17:54 EDT 2008. Contains 143238 sequences.


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