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 A351829 Decimal expansion of (4/3)*Pi*Sum_{k>=1} 1/k^(3/2). 1
 1, 0, 9, 4, 2, 6, 9, 2, 2, 7, 1, 7, 9, 9, 2, 0, 6, 2, 7, 2, 2, 1, 6, 2, 5, 6, 8, 9, 7, 0, 8, 1, 2, 9, 9, 5, 9, 9, 6, 4, 2, 2, 7, 6, 7, 9, 7, 6, 4, 1, 8, 2, 7, 1, 1, 7, 7, 9, 4, 9, 6, 5, 0, 1, 8, 2, 5, 9, 0, 1, 8, 4, 0, 0, 2, 4, 4, 8, 8, 0, 0, 6, 5, 8, 6, 6 (list; constant; graph; refs; listen; history; text; internal format)
 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. FORMULA Equals (4/3)*Pi*zeta(3/2) = (4/3)*A000796*A078434. 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 Cf. A000796, A078434. Sequence in context: A039663 A155535 A099879 * A126774 A179587 A223709 Adjacent sequences: A351826 A351827 A351828 * A351830 A351831 A351832 KEYWORD nonn,cons AUTHOR Paolo Xausa, Feb 21 2022 STATUS approved

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Last modified August 6 12:32 EDT 2024. Contains 374974 sequences. (Running on oeis4.)