A382555 Decimal expansion of Sum_{p prime} 1/(p + 1)^3.

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

Offset

0,2

Links

Table of n, a(n) for n=0..95.

Index to constants which are prime zeta sums {0,0,3}.

Formula

Equals Sum_{k>=3} (-1)^(k+1) * ((k-2)*(k-1)/2) * P(k), where P is the prime zeta function. - Amiram Eldar, Apr 02 2025

Example

0.0607162964871363728473985988280913247203267...

Prog

(PARI) sumeulerrat(1/(p+1)^3) \\ Amiram Eldar, Apr 02 2025

Crossrefs

Cf. A380840, A382554.

Sequence in context: A384441 A021900 A351401 * A273413 A341906 A365163

Adjacent sequences: A382552 A382553 A382554 * A382556 A382557 A382558

Keyword

nonn,cons

Author

Artur Jasinski, Mar 31 2025

Status

approved