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Search: id:A114243
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| A114243 |
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a(n)=(n+1)(n+2)^2*(n+3)(n+4)(3n+5)/240. |
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+0
1
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| 1, 12, 66, 245, 714, 1764, 3864, 7722, 14355, 25168, 42042, 67431, 104468, 157080, 230112, 329460, 462213, 636804, 863170, 1152921, 1519518, 1978460, 2547480, 3246750, 4099095, 5130216, 6368922, 7847371, 9601320, 11670384, 14098304
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OFFSET
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0,2
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COMMENT
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Kekule numbers for certain benzenoids.
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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 (pp. 167-169, Table 10.5/II/3).
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FORMULA
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G.f.=(1+5x+3x^2)/(1-x)^7.
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MAPLE
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a:=n->(n+1)*(n+2)^2*(n+3)*(n+4)*(3*n+5)/240: seq(a(n), n=0..35);
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CROSSREFS
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Sequence in context: A014787 A007249 A112142 this_sequence A000972 A003200 A036399
Adjacent sequences: A114240 A114241 A114242 this_sequence A114244 A114245 A114246
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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 18 2005
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