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A224465 The Wiener index of the nanostar dendrimer defined pictorially as NS[n] in the Z. S. Irani reference. 1
8340, 12428, 26748, 76444, 268380, 1100508, 4959708, 23244764, 109587420, 512103388, 2360853468, 10733675484, 48188138460, 213973935068, 941242328028, 4107369456604, 17801289409500, 76697192899548, 328767224423388, 1403004800476124, 5963809931928540 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,1
REFERENCES
Z. S. Irani, A. Karbasioun, Wiener index of a new type of nanostar dendrimer, Iranian J. Math. Chem., 2, 2011, 79-85.
LINKS
FORMULA
a(n) = 9180 + 2^n*(2800*n+136)+4^n*(320*n-976).
G.f.: 4*(2085-23998*z+99736*z^2-177552*z^3+120384*z^4)/((1-z)*(1-2*z)^2*(1-4*z)^2).
MAPLE
a := proc (n) options operator, arrow: 9180+2^n*(2800*n+136)+4^n*(320*n-976) end proc: seq(a(n), n = 0 .. 20);
CROSSREFS
Sequence in context: A124414 A124415 A233954 * A049357 A031947 A069402
KEYWORD
nonn
AUTHOR
Emeric Deutsch, Jul 12 2013
STATUS
approved

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Last modified April 23 14:15 EDT 2024. Contains 371914 sequences. (Running on oeis4.)