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 A093577 Decimal expansion of (3/4)*sqrt(2). 3
 1, 0, 6, 0, 6, 6, 0, 1, 7, 1, 7, 7, 9, 8, 2, 1, 2, 8, 6, 6, 0, 1, 2, 6, 6, 5, 4, 3, 1, 5, 7, 2, 7, 3, 5, 5, 8, 9, 2, 7, 2, 5, 3, 9, 0, 6, 5, 3, 2, 7, 1, 1, 0, 5, 4, 8, 8, 2, 5, 0, 9, 8, 0, 3, 4, 9, 3, 0, 4, 9, 3, 5, 8, 8, 4, 6, 5, 8, 0, 2, 7, 9, 1, 3, 7, 7, 9, 0, 6, 5, 0, 7, 4, 5, 7, 3, 1, 1, 7, 9, 5, 5 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS Side length of Prince Rupert's cube: the largest cube that can be passed through a given unit cube (slightly larger than the given cube!). REFERENCES Clifford A. Pickover, The Math Book, Sterling Publishing Co. (New York), 2009, p. 214. D. J. E. Schrek, Prince Rupert's problem and its extension by Pieter Nieuwland, Scripta Math. 16 (1950), pp. 73-80 and 261-267. David Wells, Penguin Dictionary of Curious and Interesting Geometry, 1991, p. 195. LINKS G. C. Greubel, Table of n, a(n) for n = 1..10000 Eric Weisstein's World of Mathematics, Prince Rupert's Cube EXAMPLE 1.06066017... MATHEMATICA RealDigits[3 Sqrt[2]/4, 10, 110][[1]] (* Bruno Berselli, Sep 20 2012 *) PROG (PARI) sqrt(9/8) \\ Charles R Greathouse IV, Nov 26 2014 (MAGMA) SetDefaultRealField(RealField(100)); Sqrt(9/8); // G. C. Greubel, Aug 17 2018 CROSSREFS Sequence in context: A092605 A180318 A004016 * A065442 A198752 A141462 Adjacent sequences:  A093574 A093575 A093576 * A093578 A093579 A093580 KEYWORD nonn,cons AUTHOR Eric W. Weisstein, Apr 01 2004 STATUS approved

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Last modified December 13 22:07 EST 2018. Contains 318087 sequences. (Running on oeis4.)