A393778 Decimal expansion 1/zeta(2)^2 + Sum_{k>=2} (1/zeta(k) - 1/zeta(k+1))^2.

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

Offset

0,1

Comments

The asymptotic probability that two positive integers selected independently at random have equal maximum exponents in their prime factorizations (A051903).

Links

Table of n, a(n) for n=0..105.

Example

0.430293268227757280419771222224739715330575109945349...

Prog

(PARI) 1/zeta(2)^2 + sumpos(k = 2, (1/zeta(k) - 1/zeta(k+1))^2)

Crossrefs

Cf. A033150, A051903, A227929, A357310.

Sequence in context: A338149 A338145 A296002 * A227423 A199443 A142723

Adjacent sequences: A393775 A393776 A393777 * A393779 A393780 A393781

Keyword

nonn,cons

Author

Amiram Eldar, Feb 27 2026

Status

approved