OFFSET
0,1
COMMENTS
a(1) has been checked by the direct computation of the Wiener index (using Maple).
LINKS
A. R. Ashrafi, A. Karbasioun, and M. V. Diudea, Computing Wiener and detour indices of a new type of nanostar dendrimers, MATCH Commun. Math. Comput. Chem. 65, 2011, 193-200.
FORMULA
a(n) = 8905 + 2^(n)*(10560*n + 21528) + 4^(n)*(11520*n + 3648). Replacing n with n+1, we obtain the expression given in Theorem 1 of the Ashrafi et al. reference.
G.f.: (34081 - 309300*x + 1048900*x^2 - 1488480*x^3 + 794944*x^4)/((1-x)*(1-2*x)^2*(1-4*x)^2).
MAPLE
a := proc (n) options operator, arrow: 8905+2^n*(10560*n+21528)+4^n*(11520*n+3648) end proc: seq(a(n), n = 0 .. 22);
CROSSREFS
KEYWORD
nonn
AUTHOR
Emeric Deutsch, Jul 21 2013
STATUS
approved