A244334 - OEIS

A244334

Decimal expansion of 64/169, the upper bound (as given by S. Finch) of the 2-dimensional simultaneous Diophantine approximation constant.

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

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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..98.

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

Eric Weisstein's MathWorld, Blichfeldt's Theorem

EXAMPLE

0.3786982248520710059171597633136... (periodic part length is 78).

MATHEMATICA