A364488 Decimal expansion of zeta(2) * primezeta(2).

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

Offset

0,1

Links

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

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

Eric Weisstein's World of Mathematics, Riemann Zeta Function zeta(2).

Formula

Equals Sum_{k>=1} omega(k) / k^2, where omega(k) is the number of distinct primes dividing k (A001221).

Example

0.743917187869767974935961806463534512710431875022875115314346546...

Mathematica

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

Prog

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

Crossrefs

Cf. A001221, A013661, A085548, A098198, A364490.

Sequence in context: A199727 A255168 A257776 * A065477 A272526 A100041

Adjacent sequences: A364485 A364486 A364487 * A364489 A364490 A364491

Keyword

nonn,cons

Author

Ilya Gutkovskiy, Jul 26 2023

Status

approved