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A108676 (n+1)^2*(n+2)(5n^2+15n+12)/24. +0
1
1, 16, 93, 340, 950, 2226, 4606, 8688, 15255, 25300, 40051, 60996, 89908, 128870, 180300, 246976, 332061, 439128, 572185, 735700, 934626, 1174426, 1461098, 1801200, 2201875, 2670876, 3216591, 3848068, 4575040, 5407950, 6357976 (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, # 37).

FORMULA

G.f.=(1+10z+12z^2+2z^3)/(1-z)^6

MAPLE

a:=n->(n+1)^2*(n+2)*(5*n^2+15*n+12)/24: seq(a(n), n=0..36);

CROSSREFS

Adjacent sequences: A108673 A108674 A108675 this_sequence A108677 A108678 A108679

Sequence in context: A050406 A047674 A027938 this_sequence A066487 A128702 A143060

KEYWORD

nonn

AUTHOR

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

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


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