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A224437
The Wiener index of the nanostar dendrimer NS_1[n], defined pictorially in the A. R. Ashrafi et al. reference.
1
730, 8002, 60754, 381490, 2146930, 11252722, 56133874, 270161650, 1265842930, 5810393842, 26243850994, 117016314610, 516299391730, 2258288837362, 9805857424114, 42314967024370, 181627585561330, 775984568599282, 3301842333205234
OFFSET
0,1
COMMENTS
a(1) has been checked by the direct computation of the Wiener index (using Maple).
REFERENCES
A. R. Ashrafi and P. Nikzad, Kekulé index and bounds of energy for nanostar dendrimers, Digest J. of Nanomaterials and Biostructures, 4, No. 2, 2009, 383-388.
FORMULA
a(n) = -754 + 3768*2^n + 2880n*4^n + 1680n*2^n - 3792*4^n.
G.f.: 2(365 - 744z + 1724z^2 - 2112z^3 + 4160z^4)/((1-z)(1-2z)^2*(1-4z)^2).
MAPLE
a := proc (n) options operator, arrow: 754+1680*2^n*n+2880*4^n*n-3792*4^n+3768*2^n end proc: seq(a(n), n = 0 .. 18);
CROSSREFS
Cf. A224438.
Sequence in context: A141806 A158397 A031732 * A259322 A085441 A098292
KEYWORD
nonn
AUTHOR
Emeric Deutsch, Apr 06 2013
STATUS
approved