A292434 Decimal expansion of 40*Pi*(2^(1/3) + 2^(-1/3) - 1)/3, the critical value in Gamow's liquid drop model of the atomic nucleus.

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

Offset

2,1

Links

G. C. Greubel, Table of n, a(n) for n = 2..10000

Rustum Choksi, Cyrill B. Muratov, and Ihsan Topaloglu, An Old Problem Resurfaces Nonlocally: Gamow's Liquid Drops Inspire Today's Research and Applications, AMS Notices, 64 (2017), 1275-1283; see p. 1277.

Index entries for sequences related to the number Pi

Index entries for transcendental numbers

Example

44.13399736593442890547345588716493960971890711316446497716446372245328...

Mathematica

First[ RealDigits[ 40 Pi/3 (2^(1/3) + 2^(-1/3) - 1), 10, 100]]

Prog

(PARI) 40*Pi*(2^(1/3)+2^(-1/3)-1)/3 \\ Iain Fox, Dec 08 2017
(Magma) SetDefaultRealField(RealField(100)); R:= RealField(); 40*Pi(R)*(2^(1/3)+2^(-1/3)-1)/3; // G. C. Greubel, Feb 02 2019
(Sage) numerical_approx(40*pi*(2^(1/3)+2^(-1/3)-1)/3, digits=100) # G. C. Greubel, Feb 02 2019

Crossrefs

Cf. A000796.

Sequence in context: A325489 A278516 A362329 * A138522 A095813 A010656

Adjacent sequences: A292431 A292432 A292433 * A292435 A292436 A292437

Keyword

cons,nonn

Author

Jonathan Sondow, Dec 08 2017

Status

approved