A337998 Decimal expansion of Sum_{n>=1} (cos((n*Pi)/2) + sin((n*Pi)/2)) / sqrt(n).

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

Offset

0,1

Links

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

Formula

Equals zeta(1/2, 1/4).

Example

0.2399635244956309553375743101605772258978644368017700426676289374...

Maple

evalf(Zeta(0, 1/2, 1/4)*10^86, 100):
ListTools:-Reverse(convert(floor(%), base, 10));

Mathematica

RealDigits[Zeta[1/2, 1/4], 10, 100][[1]] (* Vaclav Kotesovec, Nov 03 2020 *)

Crossrefs

zeta(1/2, 1/k): A059750 (k=1), A113024 (k=2), this sequence (k=4).

Sequence in context: A261525 A122665 A133066 * A131988 A092593 A368680

Adjacent sequences: A337995 A337996 A337997 * A337999 A338000 A338001

Keyword

nonn,cons

Author

Peter Luschny, Nov 03 2020

Status

approved