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A108682 (n+1)(n+2)^2*(n+3)(n+4)(4n^2+15n+15)/720. +0
1
1, 17, 122, 560, 1946, 5586, 13944, 31284, 64515, 124267, 226226, 392756, 654836, 1054340, 1646688, 2503896, 3718053, 5405253, 7710010, 10810184, 14922446, 20308310, 27280760, 36211500, 47538855, 61776351, 79522002, 101468332 (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.233, # 7).

FORMULA

G.f.=(1+9z+14z^2+4z^3)/(1-z)^8

MAPLE

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

CROSSREFS

Sequence in context: A010823 A022709 A094944 this_sequence A031213 A021003 A023081

Adjacent sequences: A108679 A108680 A108681 this_sequence A108683 A108684 A108685

KEYWORD

nonn

AUTHOR

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

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Last modified December 15 00:47 EST 2009. Contains 170825 sequences.


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