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Search: id:A114481
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| A114481 |
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Kekule numbers for certain benzenoids. |
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+0
1
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| 5, 105, 2331, 52137, 1167291, 26137809, 585284211, 13105857753, 293470347915, 6571477451169, 147150526244067, 3295039441438377, 73783527649203195, 1652183243687500785, 36996190853123920851, 828429983702209723257
(list; graph; listen)
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OFFSET
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1,1
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REFERENCES
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S. J. Cyvin and I. Gutman, Kekule structures in benzenoid hydrocarbons, Lecture Notes in Chemistry, No. 46, Springer, New York, 1988 (p. 205).
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FORMULA
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a(n)=[3^(n+1)+(12+6sqrt(3))^(n+1)/4+(12-6sqrt(3))^(n+1)/4]/27.
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MAPLE
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a:=n->(3^(n+1)+(12+6*sqrt(3))^(n+1)/4+(12-6*sqrt(3))^(n+1)/4)/27: seq(expand(a(n)), n=1..18);
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CROSSREFS
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Sequence in context: A057016 A083252 A034225 this_sequence A015002 A059490 A093979
Adjacent sequences: A114478 A114479 A114480 this_sequence A114482 A114483 A114484
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KEYWORD
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nonn
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AUTHOR
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Emeric Deutsch (deutsch(AT)duke.poly.edu), Nov 30 2005
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