A084233 Decimal expansion of area under the curve Zeta(1/2 + t*I) from zero to its first nontrivial zero (A058303).

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

Offset

2,2

Links

Table of n, a(n) for n=2..101.

Eric Weisstein's World of Mathematics, Riemann Zeta Function Zeros

Index entries for zeta function.

Example

13.832853042...

Mathematica

digits = 100; NIntegrate[ Zeta[1/2 + t*I] // Abs, {t, 0, ZetaZero[1] // Im}, WorkingPrecision -> digits+5] // RealDigits[#, 10, digits]& // First (* Jean-François Alcover, Mar 05 2013 *)

Prog

(PARI) intnum(t=0, solve(s=14, 15, imag(zeta(1/2+I*s))), abs(zeta(1/2+I*t))) /* Brad Chalfan (brad(AT)chalfan.net), Aug 31 2010 */

Crossrefs

Cf. A058303.

Sequence in context: A309648 A021265 A115369 * A198489 A334503 A015136

Adjacent sequences: A084230 A084231 A084232 * A084234 A084235 A084236

Keyword

nonn,cons

Author

Robert G. Wilson v, May 11 2003

Extensions

More terms from Brad Chalfan (brad(AT)chalfan.net), Aug 31 2010

Status

approved