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 A276566 Decimal expansion of 466/885. 0
 5, 2, 6, 5, 5, 3, 6, 7, 2, 3, 1, 6, 3, 8, 4, 1, 8, 0, 7, 9, 0, 9, 6, 0, 4, 5, 1, 9, 7, 7, 4, 0, 1, 1, 2, 9, 9, 4, 3, 5, 0, 2, 8, 2, 4, 8, 5, 8, 7, 5, 7, 0, 6, 2, 1, 4, 6, 8, 9, 2, 6, 5, 5, 3, 6, 7, 2, 3, 1, 6, 3, 8, 4, 1, 8, 0, 7, 9, 0, 9, 6, 0, 4, 5, 1, 9 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS This is the average length of a shortest path between two random points on the infinite Sierpinski gasket of unit side. The average number of moves in a shortest path between two random configurations in the n-disk Tower of Hanoi is asymptotically (1 + O(1))*466/885*2^n. REFERENCES A. Hinz, The Tower of Hanoi, L'Enseignement mathÃ©matique 35 (1989), 289-321. LINKS T. Chan, A statistical analysis of the Towers of Hanoi problem, International Journal of Computer Mathematics 28 (1988), 543-623. A. Hinz, Shortest paths between regular states of the Tower of Hanoi, Information Sciences 63 (1992), 173-181. A. Hinz and A. Schief, The average distance on the Sierpinski gasket, Probability Theory and Related Fields 87 (1990), 129-138. EXAMPLE 466/885 = 0.5265536723... is a repeating decimal with nonperiod length 1 and period length 58. 466/885 = 0.5(2655367231638418079096045197740112994350282485875706214689). - Andrey Zabolotskiy, Sep 07 2016 MATHEMATICA First@ RealDigits@ N[466/885, 120] (* Michael De Vlieger, Sep 07 2016 *) CROSSREFS Sequence in context: A232356 A211015 A077141 * A158624 A021659 A011506 Adjacent sequences:  A276563 A276564 A276565 * A276567 A276568 A276569 KEYWORD nonn,cons AUTHOR Martin Renner, Sep 06 2016 STATUS approved

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Last modified October 15 07:56 EDT 2019. Contains 328026 sequences. (Running on oeis4.)