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A093577 Decimal expansion of (3/4)*sqrt(2). 2
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

Table of n, a(n) for n=1..102.

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

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 June 22 12:24 EDT 2017. Contains 288613 sequences.