OFFSET
2,3
COMMENTS
Total volume of an infinite stack of spheres having radii 1, 1/sqrt(2), 1/sqrt(3), ...
Both the height and the surface area of the stack are infinite, while the volume converges to this constant. See the linked YouTube video (where the constant is given with a lower precision).
LINKS
Paolo Xausa, Table of n, a(n) for n = 2..10000
Michael Penn, An infinite stack of spheres paradox, YouTube video, 2022.
EXAMPLE
10.942692271799206272216256897081299599642276797641827117794965018259...
MATHEMATICA
nterms=100; First[RealDigits[4/3*Pi*Zeta[3/2], 10, nterms]]
PROG
(PARI) 4/3*Pi*zeta(3/2) \\ Michel Marcus, Feb 21 2022
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Paolo Xausa, Feb 21 2022
STATUS
approved