A244336 Decimal expansion of the upper bound of the 4-dimensional simultaneous Diophantine approximation constant.

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

Offset

0,1

References

Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 2.23 Diophantine Approximation Constants, p. 174.

Links

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

W. G. Spohn, Blichfeldt's Theorem and Simultaneous Diophantine Approximation

Eric Weisstein's MathWorld, Blichfeldt's Theorem

Formula

27/(4*(8*sqrt(3)*Pi - 27)).

Example

0.4083191922116297953548658765386...

Mathematica

RealDigits[27/(4*(8*Sqrt[3]*Pi - 27)), 10, 100] // First

Crossrefs

Cf. A244334, A244335, A244337, A244338.

Sequence in context: A123961 A020763 A229911 * A137323 A021075 A232705

Adjacent sequences: A244333 A244334 A244335 * A244337 A244338 A244339

Keyword

nonn,cons,easy

Author

Jean-François Alcover, Jun 26 2014

Status

approved