The correspondence which relates the Hanoi graph to the isomorphic graph of the odd binomial coefficients in Pascal's triangle, where the adjacencies are determined by adjacency (either horizontal or diagonal) in Pascal's triangle. The proof of the correspondence is given by the Lucas correspondence theorem.
Lucas Correspondence
See also
Binomial Coefficient, Hanoi Graph, Lucas Correspondence Theorem, Pascal's TriangleExplore with Wolfram|Alpha
References
Poole, David G. "The Towers and Triangles of Professor Claus (or, Pascal Knows Hanoi)." Math. Mag. 67, 323-344, 1994.Referenced on Wolfram|Alpha
Lucas CorrespondenceCite this as:
Weisstein, Eric W. "Lucas Correspondence." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/LucasCorrespondence.html