A291877 Consider the graph with one central vertex connected to three outer vertices (a star graph). Then, a(n) is the minimum number of moves required to transfer a stack of n discs from the central vertex to an outer vertex, moving discs to adjacent vertices, following the rules of the Towers of Hanoi.

1, 4, 7, 14, 23, 32, 47, 68, 93, 120, 153, 198, 255, 318, 399, 480, 579, 700, 835, 1012, 1201, 1428

Offset

1,2

Links

Table of n, a(n) for n=1..22.

Caroline Holz auf der Heide. Distances and automatic sequences in distinguished variants of Hanoi graphs. Dissertation. Fakultät für Mathematik, Informatik und Statistik. Ludwig-Maximilians-Universität München, 2016. [See Chapter 3.]

Paul K. Stockmeyer, Variations on the Four-Post Tower of Hanoi Puzzle, Congr. Numer., 102 (1994), pp. 3-12.

Eric Weisstein's World of Mathematics, Star Graph

Index entries for sequences related to Towers of Hanoi

Crossrefs

Cf. A291876.

Sequence in context: A146678 A146417 A008370 * A048241 A003404 A139025

Adjacent sequences: A291874 A291875 A291876 * A291878 A291879 A291880

Keyword

nonn,hard,more

Author

Eric M. Schmidt, Sep 04 2017

Extensions

Clarified definition and a(16)-a(18) added by Borut Lužar, Dec 11 2017

a(19)-a(21) by Borut Lužar, Mar 07 2019

a(22) added by Ciril Petr, Jun 22 2021

Status

approved