A344916 Decimal expansion of Integral_{x=0..1} -x*zeta(1 - x).

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

Offset

0,1

Links

Table of n, a(n) for n=0..85.

Example

0.736789911413448643988374575444321693365546569110...

Maple

Digits:=100: Int(-s*Zeta(1 - s), s=0..1): evalf(%*10^90):
ListTools:-Reverse(convert(floor(%), base, 10));

Mathematica

ndig = 100; RealDigits[N[-Integrate[x*Zeta[1 - x], {x, 0, 1}], ndig + 1], 10, ndig][[1]] (* Amiram Eldar, Jul 15 2021 *)

Prog

(PARI) intnum(x=0, 1, -x*zeta(1-x)) \\ Michel Marcus, Jul 15 2021

Crossrefs

Sequence in context: A197028 A257819 A182111 * A372856 A023643 A050009

Adjacent sequences: A344913 A344914 A344915 * A344917 A344918 A344919

Keyword

nonn,cons

Author

Peter Luschny, Jul 15 2021

Status

approved