A192191 Molecular topological indices of the cube-connected cycle graphs.

12, 288, 5544, 57408, 458400, 3339648, 21641088, 133367808, 770867712, 4318341120, 23246936064, 122502168576, 628395515904, 3173912641536, 15723815731200, 76986895564800, 371499757338624, 1776217326354432, 8396759769808896, 39400619366154240

Offset: 1

Author

Eric W. Weisstein, Jul 11 2011

Keywords

• nonn

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

Examples

			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.
		

Links

• Eric Weisstein's World of Mathematics, Cube-Connected Cycle Graph
• Eric Weisstein's World of Mathematics, Molecular Topological Index

Crossrefs

Cf. A286756.

Formula

a(n) = 3n * 2^n * (3 + Sum_{k=1..floor(5n/2)-1} k*A286756(n,k)). - Andrew Howroyd, May 13 2017

Extensions

a(9)-a(20) from Andrew Howroyd, May 12 2017