

A231535


Decimal expansion of Pi^4/15.


1



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

1,1


COMMENTS

Under proper scaling, the radiation distribution density function in terms of frequency is given by prl(x) = x^3/(exp(x)1), the Planck's radiation law. This constant is the integral of prl(x) from 0 to infinity and leads to the total amount of electromagnetic radiation emitted by a body.
Also, in an 8dimensional unitradius hypersphere, equals onefifth of its surface (A164109), and twice the integral of r^2 over its volume.
Equals 6*zeta(4), see A013662. [Bruno Berselli, Nov 12 2013]


LINKS

Stanislav Sykora, Table of n, a(n) for n = 1..1000
S. Sykora, Surface Integrals over nDimensional Spheres
S. Sykora, Volume Integrals over nDimensional Ellipsoids
Wikipedia, Plank's Law
Ke Xiao, Dimensionless Constants and Blackbody Radiation Laws, Electronic Journal of Theoretical Physics, 8(2011), 379388, Eq.6.


FORMULA

a = Gamma(4)*zeta(4) = 2*3*product(prime p)(p^4/(p^41)).  Stanislav Sykora, Oct 20 2014


EXAMPLE

6.4939394022668291490960221792470074166485057115123614460978572926647...


MATHEMATICA

RealDigits[Pi^4/15, 10, 105][[1]] (* Bruno Berselli, Nov 12 2013 *)


CROSSREFS

Cf. A000796, A013662, A081819, A164109.
Sequence in context: A179258 A248930 A021158 * A019931 A195414 A153630
Adjacent sequences: A231532 A231533 A231534 * A231536 A231537 A231538


KEYWORD

nonn,cons,easy


AUTHOR

Stanislav Sykora, Nov 12 2013


STATUS

approved



