A355673 Decimal expansion of 265/153.

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

Offset

1,2

Comments

This constant is the lesser limit to the value of sqrt(3) used by Archimedes in the calculation of Pi.

References

Petr Beckmann, A History of Pi, 3rd Ed., Boulder, Colorado: The Golem Press (1974): p. 66.

William Dunham, Journey Through Genius, Wiley, 1990, Chapter 3, p. 98.

Links

Table of n, a(n) for n=1..88.

Kevin Brown, Archimedes and the square root of 3, MathPages.

Index entries for algebraic numbers, degree 1.

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1).

Example

1.732026143790849673202614379084967320261...

Mathematica

First[RealDigits[N[265/153, 88]]]

Crossrefs

Cf. A002194, A355674 (greater limit).

Sequence in context: A133722 A204155 A363232 * A160390 A002194 A355674

Adjacent sequences: A355670 A355671 A355672 * A355674 A355675 A355676

Keyword

nonn,cons,easy

Author

Stefano Spezia, Jul 14 2022

Status

approved