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A339925 Decimal expansion of 105*zeta(3)/Pi^4. 2
1, 2, 9, 5, 7, 3, 0, 9, 5, 7, 8, 8, 0, 5, 0, 6, 1, 3, 6, 7, 0, 4, 7, 1, 3, 5, 7, 5, 0, 4, 9, 8, 4, 2, 2, 9, 1, 4, 5, 8, 5, 7, 2, 3, 3, 4, 5, 1, 1, 8, 7, 0, 4, 7, 7, 3, 5, 1, 0, 9, 0, 4, 5, 9, 2, 6, 7, 0, 2, 3, 3, 0, 0, 4, 6, 2, 3, 6, 9, 3, 6, 9, 2, 9, 8, 7, 8, 6, 0, 6, 7, 2, 1, 4, 0, 7, 4, 2, 0, 0, 7, 1, 2, 7 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..104.

H. Riesel and R. C. Vaughan, On sums of primes, Ark. Mat.Volume 21, Number 1-2 (1983), 45-74 (p.47).

FORMULA

Equals Product_{p>=3} 1+1/(p*(p-1)) where p are successive odd primes.

Equals A082695*2/3.

EXAMPLE

1.295730957880506136704713575049842291458572334511870477351090459267...

MATHEMATICA

RealDigits[N[105 Zeta[3]/Pi^4, 105]][[1]]

PROG

(PARI) prodeulerrat(1+1/(p*(p-1)), 1, 3) \\ Hugo Pfoertner, Dec 23 2020

CROSSREFS

Cf. A002117, A005597, A082695.

Sequence in context: A051491 A339204 A253169 * A171052 A021342 A069857

Adjacent sequences:  A339922 A339923 A339924 * A339926 A339927 A339928

KEYWORD

nonn,cons

AUTHOR

Artur Jasinski, Dec 23 2020

STATUS

approved

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Last modified September 18 18:59 EDT 2021. Contains 347533 sequences. (Running on oeis4.)