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A224463
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The Wiener index of the tetrathiafulvalene dendrimer defined pictorially as D[n] in the Shabani reference.
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1
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11095, 357449, 3692349, 26206373, 155494901, 834211733, 4203722965, 20315383637, 95323077717, 437644252757, 1976168966741, 8807356781141, 38840665809493, 169808425140821, 737017916129877, 3179209969369685, 13641394194809429, 58263792669360725
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OFFSET
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0,1
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REFERENCES
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H. Shabani, Computing vertex PI index of tetrathiafulvalene dendrimers, Iranian J. Math. Chem., 1, 2010, 125-130.
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LINKS
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Table of n, a(n) for n=0..17.
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FORMULA
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a(n) = -64939 + 2^n*(-27280*n+344122)+4^n*(215264*n-268088).
G.f. = z*(11095 + 213214*z - 244408*z^2 - 559488*z^3 - 4864*z^4)/((1-z)*(1-2*z)^2*(1-4*z)^2)
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MAPLE
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a := proc (n) options operator, arrow: -64939+2^n*(-27280*n+344122)+4^n*(215264*n-268088) end proc: seq(a(n), n = 0 .. 20);
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CROSSREFS
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Cf. A224464
Sequence in context: A032427 A204758 A211686 * A300562 A253378 A253371
Adjacent sequences: A224460 A224461 A224462 * A224464 A224465 A224466
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KEYWORD
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nonn
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AUTHOR
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Emeric Deutsch, Jul 12 2013
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STATUS
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approved
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