A199501 Pi raised to fraction of imaginary part of second and third Riemann zeta function zero.

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

Offset

1,1

Comments

This number has seven consecutive 7:s in its decimal expansion close to the beginning. This can be amplified by dividing the number by 589, which gives 0.004443727297444444444471198171188... which in turn has ten consecutive 4:s.

Links

Table of n, a(n) for n=1..89.

Formula

This number = A000796^(A065434/A065452)

Example

2.61735537819477777779353572283019080292...

Mathematica

RealDigits[N[Pi^(Im[ZetaZero[2]]/Im[ZetaZero[3]]), 90]]

Crossrefs

Cf. A000796, A065434, A065452.

Sequence in context: A141906 A352125 A136766 * A021386 A201936 A019679

Adjacent sequences: A199498 A199499 A199500 * A199502 A199503 A199504

Keyword

nonn,cons

Author

Mats Granvik, Nov 07 2011

Status

approved