OFFSET
1,1
COMMENTS
The cube-connected cycle graph of order n is a cubic vertex transitive graph with n*2^n vertices. The number of nodes at distance k from a designated node is given by A286756(n,k). - Andrew Howroyd, May 13 2017
LINKS
Eric Weisstein's World of Mathematics, Cube-Connected Cycle Graph
Eric Weisstein's World of Mathematics, Molecular Topological Index
FORMULA
a(n) = 3n * 2^n * (3 + Sum_{k=1..floor(5n/2)-1} k*A286756(n,k)). - Andrew Howroyd, May 13 2017
EXAMPLE
Case n=3:
The cube-connected graph cycle graph of order 3 is a vertex transitive graph of degree 3 with 3*2^3=24 vertices. The number of nodes which are at distances 1..6 from a designated starting node are 3,4,6,6,3,1. The molecular topological index for the graph is then 24*3*3 + 24*3*(1*3 + 2*4 + 3*6 + 4*6 + 5*3 + 6*1) = 5544.
CROSSREFS
KEYWORD
nonn
AUTHOR
Eric W. Weisstein, Jul 11 2011
EXTENSIONS
a(9)-a(20) from Andrew Howroyd, May 12 2017
STATUS
approved