A364490 Decimal expansion of zeta(3) * primezeta(2).

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

Offset

0,1

Links

Table of n, a(n) for n=0..104.

Eric Weisstein's World of Mathematics, Apéry's Constant.

Eric Weisstein's World of Mathematics, Prime Zeta Function.

Formula

Equals Sum_{k>=1} sopf(k) / k^3, where sopf(k) is the sum of the distinct primes dividing k (A008472).

Example

0.543627133196479429780255713473283428069364804957661398719160636...

Mathematica

RealDigits[Zeta[3] PrimeZetaP[2], 10, 105][[1]]

Prog

(PARI) zeta(3) * sumeulerrat(1/p, 2) \\ Amiram Eldar, Jul 28 2023

Crossrefs

Cf. A002117, A008472, A085548, A183699, A364488.

Sequence in context: A205449 A164360 A183164 * A019762 A328015 A256099

Adjacent sequences: A364487 A364488 A364489 * A364491 A364492 A364493

Keyword

nonn,cons

Author

Ilya Gutkovskiy, Jul 26 2023

Status

approved