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A216114
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The Wiener index of a link of n fullerenes C_{20} (see the Ghorbani and Hosseinzadeh reference).
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1
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500, 3400, 9900, 21200, 38500, 63000, 95900, 138400, 191700, 257000, 335500, 428400, 536900, 662200, 805500, 968000, 1150900, 1355400, 1582700, 1834000, 2110500, 2413400, 2743900, 3103200, 3492500, 3913000, 4365900, 4852400, 5373700, 5931000
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OFFSET
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1,1
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COMMENTS
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The Hosoya-Wiener polynomial of the graph is nw + r^2*(t^{3n+1}-nt^4+nt-t)/(t^3-1)^2, where w=20+30t+60t^2+60t^3+30t^4+10t^5 and r=1+3t+6t^2+6t^3+3t^4+t^5.
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REFERENCES
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M. Ghorbani and M. A. Hosseinzadeh, On Wiener index of special case of link fullerenes, Optoelectronics and advanced materials - Rapid Communications, 4, 2010, 538-539.
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LINKS
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FORMULA
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a(n) = 100*n*(2n^2 + 6n - 3).
G.f.: -100*x*(7*x^2-14*x-5)/(x-1)^4. [Colin Barker, Oct 31 2012]
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MAPLE
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seq(200*n^3+600*n^2-300*n, n=1..30);
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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