A299793 - OEIS

A299793

Decimal expansion of 4*c^2, where c is the speed of light in vacuum in SI units.

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

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OFFSET

18,1

COMMENTS

This constant appears in the denominator of the formula for the vacuum permittivity (epsilon_0) also called permittivity of free space or the electric constant (see below):

epsilon_0 = 10^7 / (359502071494727056*Pi) [C^2/(N*m^2)], (see links and A081799).

Note that 359502071494727056*Pi is the surface area of a sphere of radius 299792458.

Prime factors of this number are 2^4, 7^2, 73^2, 293339^2.

LINKS

Table of n, a(n) for n=18..35.

Wikipedia, Permittivity

Wikipedia, Vacuum permittivity

FORMULA

Equals 4*299792458^2 = 2^4*7^2*73^2*293339^2 = 4*A003678^2 = 4*A182999.

EXAMPLE

4*c^2 = 359502071494727056 [m^2 * s^-2], exact.

MATHEMATICA

IntegerDigits[4*299792458^2] (* Michael De Vlieger, Feb 22 2018 *)

CROSSREFS

Cf. A000796, A003678, A081799, A182999.

Sequence in context: A138055 A236556 A189044 * A356527 A199612 A076844

Adjacent sequences: A299790 A299791 A299792 * A299794 A299795 A299796

KEYWORD

nonn,cons,fini,full

AUTHOR

Omar E. Pol, Feb 21 2018

STATUS

approved