A334574 Decimal expansion of limit when n->oo A334573(n)/n.

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

Offset

1,1

Links

Table of n, a(n) for n=1..107.

István B. Kolossváry and István T. Kolossváry, Distance between natural numbers based on their prime signature, Journal of Number Theory, Vol. 234 (2022), pp. 120-139; arXiv preprint, arXiv:2005.02027 [math.NT], 2020-2021.

Formula

Equals 1 + Sum_{k>=2} (1 - Product_{p prime} (1 - 2/p^k)). - Amiram Eldar, Jan 05 2024

Example

2.2883695...

Prog

(PARI) 1 + sumpos(k = 2, 1 - prodeulerrat(1 - 2/p^k)) \\ Amiram Eldar, Jan 05 2024

Crossrefs

Cf. A334572, A334573.

Sequence in context: A094887 A021441 A196066 * A260825 A330763 A138102

Adjacent sequences: A334571 A334572 A334573 * A334575 A334576 A334577

Keyword

nonn,cons

Author

Michel Marcus, May 06 2020

Extensions

More terms from Amiram Eldar, Jan 05 2024

Status

approved