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A108675 (n+1)(n+2)(61n^4+366n^3+845n^2+888n+360)/720. +0
1
1, 21, 157, 707, 2353, 6405, 15106, 31998, 62349, 113641, 196119, 323401, 513149, 787801, 1175364, 1710268, 2434281, 3397485, 4659313, 6289647, 8369977, 10994621, 14272006, 18326010, 23297365, 29345121, 36648171, 45406837 (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, # 35).

FORMULA

G.f.=(1+14z+31z^2+14z^3+z^4)/(1-z)^7

MAPLE

a:=n->(n+1)*(n+2)*(61*n^4+366*n^3+845*n^2+888*n+360)/720: seq(a(n), n=0..32);

CROSSREFS

Sequence in context: A060493 A041850 A078396 this_sequence A070315 A146301 A126993

Adjacent sequences: A108672 A108673 A108674 this_sequence A108676 A108677 A108678

KEYWORD

nonn

AUTHOR

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

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Last modified December 4 12:48 EST 2009. Contains 170310 sequences.


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