A210621 Decimal expansion of 256/81.

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

Offset

1,1

Comments

According to Maor (1994), the Rhind Papyrus asserts that a circle has the same area as a square with a side that is 8/9 the diameter of the circle. From this we can determine that 256/81 is one of the ancient Egyptian approximations of Pi. - Alonso del Arte, Jun 12 2012

References

Petr Beckmann, A History of Pi, 3rd Ed., Boulder, Colorado: The Golem Press (1974): p. 12.

Carl Theodore Heisel, Behold! The grand problem no longer unsolved: The circle squared beyond refutation, c. 1935. (proposes Pi = 3 + 13/81)

Eli Maor, e: The Story of a Number. Princeton, New Jersey: Princeton University Press (1994): 41, 47 note 1.

Links

Table of n, a(n) for n=1..99.

Dario Castellanos, The ubiquitous Pi, Math. Mag., 61 (1988), 67-98 and 148-163.

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

Formula

256/81 = (4/3)^4.

Example

3.1604938271604938271604938271604938271604938271604938271604...

Mathematica

RealDigits[256/81, 10, 100][[1]] (* Alonso del Arte, Jun 12 2012 *)

Prog

(PARI) 256/81. \\ Charles R Greathouse IV, Sep 13 2013

Crossrefs

Cf. A068028.

Sequence in context: A370433 A174424 A298330 * A226771 A096614 A011002

Adjacent sequences: A210618 A210619 A210620 * A210622 A210623 A210624

Keyword

nonn,cons,easy

Author

N. J. A. Sloane, Mar 24 2012

Extensions

Offset corrected by Rick L. Shepherd, Jan 06 2014

Status

approved