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A084233 Decimal expansion of area under the curve Zeta(1/2 + t*I) from zero to its first nontrivial zero (A058303). 0
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 (list; constant; graph; refs; listen; history; text; internal format)
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-Fran├žois 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: A021727 A021265 A115369 * A198489 A015136 A179450

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

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Last modified November 22 20:13 EST 2014. Contains 249827 sequences.