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.

Florian Cajori, A History of Mathematical Notations, Dover edition (2012), par. 44.

Jan Gullberg, Mathematics from the Birth of Numbers, W. W. Norton & Co., NY & London, 1997, §3.6 The Quest for Pi, p. 90.

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)

E.g.f.: 6*(exp(x) - 1) - 3*x - 5*x^2/2 - x^3/3 - 5*x^4/24. - Elmo R. Oliveira, Sep 18 2025

Example

3.1416666666666666666666666666666666666666666666666666666666...

Mathematica

RealDigits[377/120, 10, 120][[1]] (* Harvey P. Dale, Dec 06 2017 *)
(* Alternative: *)
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