A393109 Decimal expansion of Product_{p prime} (1 - 1/p^2 + 2/p^3 - 4/p^4 + 2/p^5 + 2/p^6 - 4/p^7 + 2/p^8).

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

Offset

0,1

Comments

The asymptotic probability that the greatest common bi-unitary divisor of two positive integers selected independently at random is 1.

Links

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

Example

0.703144419850627757322097009886130216782385175212355...

Prog

(PARI) prodeulerrat(1 - 1/p^2 + 2/p^3 - 4/p^4 + 2/p^5 + 2/p^6 - 4/p^7 + 2/p^8)

Crossrefs

Cf. A222266.

Analogous constants: A059956, A306071, A393948.

Sequence in context: A309608 A324479 A355184 * A215479 A239725 A126583

Adjacent sequences: A393106 A393107 A393108 * A393110 A393111 A393112

Keyword

nonn,cons

Author

Amiram Eldar, Mar 10 2026

Status

approved