|
Search: id:A002194
|
|
|
| A002194 |
|
Decimal expansion of square root of 3.
(Formerly M4326 N1812)
|
|
+0
9
|
|
| 1, 7, 3, 2, 0, 5, 0, 8, 0, 7, 5, 6, 8, 8, 7, 7, 2, 9, 3, 5, 2, 7, 4, 4, 6, 3, 4, 1, 5, 0, 5, 8, 7, 2, 3, 6, 6, 9, 4, 2, 8, 0, 5, 2, 5, 3, 8, 1, 0, 3, 8, 0, 6, 2, 8, 0, 5, 5, 8, 0, 6, 9, 7, 9, 4, 5, 1, 9, 3, 3, 0, 1, 6, 9, 0, 8, 8, 0, 0, 0, 3, 7, 0, 8, 1, 1, 4, 6, 1, 8, 6, 7, 5, 7, 2, 4, 8, 5, 7, 5, 6, 7, 5, 6, 2, 6, 1, 4, 1, 4, 1, 5, 4
(list; cons; graph; listen)
|
|
|
OFFSET
|
1,2
|
|
|
COMMENT
|
"The square root of 3, the 2nd number, after root 2, to be proved irrational, by Theodorus."
Length of a diagonal between any vertex of the unit cube and the one corresponding (opposite) vertex not part of the three faces meeting at the original vertex. (Diagonal is hypotenuse of a triangle with sides 1 and sqrt(2)). Hence the diameter of the sphere circumscribed around the unit cube; the ratio of the diameter of any sphere to the edge length of its inscribed cube. - Rick L. Shepherd (rshepherd2(AT)hotmail.com), Jun 09 2005
The square root of 3 is the length of the minimal Y-shaped (symmetrical) network linking three points unit distance apart. - Lekraj Beedassy (blekraj(AT)yahoo.com), Apr 12 2006
|
|
REFERENCES
|
M. F. Jones, 22900D approximations to the square roots of the primes less than 100, Math. Comp., 22 (1968), 234-235.
Uhler, Horace S.; Approximations exceeding $1300$ decimals for sqrt 3, 1/sqrt 3, sin(pi/3) and distribution of digits in them. Proc. Nat. Acad. Sci. U. S. A. 37, (1951). 443-447.
David Wells, "The Penguin Dictionary of Curious and Interesting Numbers," Revised Edition, Penguin Books, London, England, 1997, page 23.
|
|
LINKS
|
N. J. A. Sloane, Table of n, a(n) for n = 1..10000
R. J. Nemiroff and J. Bonnell, The first 1 million digits of the square root of 3
S. Plouffe, Plouffe's Inverter, The square root of 3 to 10 million digits
Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.
Eric Weisstein's World of Mathematics, Theodorus's Constant
|
|
EXAMPLE
|
1.73205080756887729352744634150587236694280525381038062805580697945193301690880\
0037081146186757248575675626141415406703029969945094998952478811655512094373648\
5280932319023055820679748201010846749232650153123432669033228866506722546689218\
3797122704713166036786158801904998653737985938946765034750657605...
|
|
MATHEMATICA
|
RealDigits[ N[ Sqrt[3], 100]] [[1]]
|
|
CROSSREFS
|
Sequence in context: A125681 A021899 A133722 this_sequence A033327 A024584 A132713
Adjacent sequences: A002191 A002192 A002193 this_sequence A002195 A002196 A002197
|
|
KEYWORD
|
cons,nonn
|
|
AUTHOR
|
njas
|
|
EXTENSIONS
|
More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Dec 07 2000
|
|
|
Search completed in 0.002 seconds
|
