A210622 Decimal expansion of 377/120.

3, 1, 4, 1, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6

Offset

1,1

Comments

Claudius Ptolemy's estimate for Pi.

References

Petr Beckmann, A History of Pi, 3rd Ed., Boulder, Colorado: The Golem Press (1974): p. 26.

David Wells, The Penguin Dictionary of Curious and Interesting Numbers. Penguin Books, NY, 1986, Revised edition 1987. See p. 49.

Links

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

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

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

Formula

Equals A021028 plus 3.1. - R. J. Mathar, Mar 27 2012

Equals 3 + A122553 + A021016/10. - Stefano Spezia, Jul 08 2022

From Elmo R. Oliveira, Aug 02 2024: (Start)

G.f.: x*(3 + x + 4*x^2 + x^3) + 6*x^5/(1 - x).

a(n) = 6 for n >= 5. (End)

Example

3.1416666666666666666666666666666666666666666666666666666666...

Mathematica

RealDigits[377/120, 10, 120][[1]] (* or *) PadRight[{3, 1, 4, 1}, 120, {6}] (* Harvey P. Dale, Dec 06 2017 *)

Prog

(PARI) 377/120. \\ Charles R Greathouse IV, Mar 25 2014

Crossrefs

Cf. A021016, A021028, A122553.

Sequence in context: A064575 A180251 A094119 * A364065 A335113 A295276

Adjacent sequences: A210619 A210620 A210621 * A210623 A210624 A210625

Keyword

nonn,cons,easy

Author

N. J. A. Sloane, Mar 24 2012

Status

approved