A379338 Decimal expansion of 2*(2 - sqrt(3)).

5, 3, 5, 8, 9, 8, 3, 8, 4, 8, 6, 2, 2, 4, 5, 4, 1, 2, 9, 4, 5, 1, 0, 7, 3, 1, 6, 9, 8, 8, 2, 5, 5, 2, 6, 6, 1, 1, 4, 3, 8, 9, 4, 9, 2, 3, 7, 9, 2, 3, 8, 7, 4, 3, 8, 8, 8, 3, 8, 6, 0, 4, 1, 0, 9, 6, 1, 3, 3, 9, 6, 6, 1, 8, 2, 3, 9, 9, 9, 2, 5, 8, 3, 7, 7, 0, 7, 6, 2, 6, 4, 8, 5, 5, 0, 2, 8, 4, 8, 6

Offset

0,1

Comments

The greatest possible minimum distance between 7 points in a unit square (Schaer and Meir, 1965; Schaer, 1965; Croft et al., 1991). - Amiram Eldar, Feb 24 2025

References

Hallard T. Croft, Kenneth J. Falconer, and Richard K. Guy, Unsolved Problems in Geometry, Springer, 1991, Section D1, p. 108.

Steven R. Finch, Mathematical Constants, Encyclopedia of Mathematics and its Applications, vol. 94, Cambridge University Press, 2003, Section 8.2, p. 487.

Links

Table of n, a(n) for n=0..99.

J. Schaer and A. Meir, On a geometric extremum problem, Canadian Mathematical Bulletin, Vol. 8, No. 1 (1965), pp. 21-27.

J. Schaer, The densest packing of 9 circles in a square, Canadian Mathematical Bulletin, Vol. 8, No. 3 (1965), pp. 273-277.

Index entries for algebraic numbers, degree 2.

Formula

Minimal polynomial: x^2 - 8*x + 4. - Stefano Spezia, Aug 03 2025

Example

0.535898384862245412945107316988255266114389492379...

Mathematica

RealDigits[2(2-Sqrt[3]), 10, 100][[1]]

Prog

(PARI) 4-sqrt(12) \\ Charles R Greathouse IV, May 18 2026

Crossrefs

Cf. A002194, A019913.

Sequence in context: A185046 A114740 A330523 * A389382 A361546 A128008

Adjacent sequences: A379335 A379336 A379337 * A379339 A379340 A379341

Keyword

nonn,cons,easy

Author

Stefano Spezia, Dec 21 2024

Status

approved