A114893 Decimal expansion of the unique value of Gram point g_n such that g_n=n.

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

Offset

4,1

Comments

Solution to RiemannSiegelTheta(x) = Pi*x.

Links

Table of n, a(n) for n=4..105.

Eric Weisstein's World of Mathematics, Gram Point

Example

9146.6981931714...

Mathematica

x0 = x /. FindRoot[ RiemannSiegelTheta[x] == Pi*x, {x, 9000}, WorkingPrecision -> 105]; RealDigits[x0][[1]][[1 ;; 102]] (* Jean-François Alcover, Oct 26 2012 *)

Crossrefs

Sequence in context: A179375 A089564 A178745 * A089101 A359809 A298512

Adjacent sequences: A114890 A114891 A114892 * A114894 A114895 A114896

Keyword

nonn,cons

Author

Eric W. Weisstein, Jan 05 2006

Status

approved