OFFSET
1,1
COMMENTS
a(2) has been checked by the direct computation of the Wiener index (using Maple).
The formula on p. 163 of the Nadjafi-Arani reference seems to be mistaken.
LINKS
Index entries for linear recurrences with constant coefficients, signature (11,-42,64,-32).
M. J. Nadjafi-Arani, H. Khodashenas, and A. R. Ashrafi, A new method for computing Wiener index of dendrimer nanostars, MATCH Commun. Math. Comput. Chem. 69, 2013, 159-164.
FORMULA
a(n) = -270 + 2^(n-1)*2055+4^(n-1)*(1323*n-3024).
G.f.: -6*x*(-14-234*x-165*x^2+8*x^3) / ( (2*x-1)*(x-1)*(-1+4*x)^2 ). - R. J. Mathar, Apr 11 2013
MAPLE
a := proc (n) options operator, arrow: -270+2055*2^(n-1)+4^(n-1)*(1323*n-3024) end proc: seq(a(n), n = 1 .. 20);
CROSSREFS
KEYWORD
nonn
AUTHOR
Emeric Deutsch, Mar 28 2013
STATUS
approved