A355283 Decimal expansion of the constant B(3) = Sum_{n>=1} Sum_{m>=n+1} 1/(z(n)*z(m))^3 where z(n) is the imaginary part of the n-th nontrivial zero of the Riemann zeta function.

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

Offset

0,8

Links

Table of n, a(n) for n=0..114.

For links see A332645.

Formula

Equals (A333360^2 - A335826)/2.

No simpler formula is known.

Example

0.0000001940333754063698367... = 1.940333754063698367*10^(-7).

Crossrefs

Cf. A013629, A074760, A104539, A104540, A104541, A104542, A245275, A245276, A306339, A306340, A306341, A332645, A333360, A335814, A335815.

Sequence in context: A197828 A116393 A359285 * A198111 A194562 A239349

Adjacent sequences: A355280 A355281 A355282 * A355284 A355285 A355286

Keyword

nonn,cons

Author

Artur Jasinski, Aug 20 2022

Status

approved