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A121318
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Molecular topological indices of the path graphs P_n
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0
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0, 4, 16, 38, 74, 128, 204, 306, 438, 604, 808, 1054, 1346, 1688, 2084, 2538, 3054, 3636, 4288, 5014, 5818, 6704, 7676, 8738, 9894, 11148, 12504, 13966, 15538, 17224, 19028, 20954, 23006, 25188, 27504, 29958, 32554, 35296, 38188, 41234, 44438
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| Maximum molecular topological index for alkane trees with n vertices.
See page 161 of Muller et al. paper for the definition of molecular topological index.
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REFERENCES
| W. R. Muller, K. Szymanski, J.V. Knop and N. Trinajstich, "Molecular topological index", J. Chem. Inf. Comput. Sci., vol. 30 (1990),pp. 160-163. See Table 2 on page 162 column 4.
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LINKS
| Eric Weisstein's World of Mathematics, Molecular Topological Index
Eric Weisstein's World of Mathematics, Path Graph
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FORMULA
| a(1) = 0; a(n) = (2n^3-3n^2+13n-18)/3 - Eric W. Weisstein, Jul 10 2011.
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EXAMPLE
| If n=10 then the maximum molecular topological index is 604 which is the tenth term in the sequence.
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CROSSREFS
| Cf. A000602.
Sequence in context: A203299 A198015 A103770 * A152133 A110477 A007057
Adjacent sequences: A121315 A121316 A121317 * A121319 A121320 A121321
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KEYWORD
| nonn
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AUTHOR
| Parthasarathy Nambi (PachaNambi(AT)yahoo.com), Aug 25 2006
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