A248192 Decimal expansion of Dedekind eta(4*i).

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

Offset

0,1

Comments

See A091343.

Links

Stanislav Sykora, Table of n, a(n) for n = 0..2000

Wikipedia, Dedekind eta function.

Formula

eta(4*i) = c*eta(i) = c*Gamma(1/4)/(2*Pi^(3/4)) = c*A091343, with c = 2^(-13/16)*(sqrt(2)-1)^(1/4).

Example

0.35091980717414323643022958905627638093114604398534590...

Mathematica

RealDigits[N[(Sqrt[2]-1)^(1/4)*Gamma[1/4]/(2^(29/16)*Pi^(3/4)), 120]][[1]] (* Vaclav Kotesovec, Oct 04 2014 *)

Prog

(PARI) eta(4*I, 1)

Crossrefs

Cf. A091343 (eta(I)), A248190, A248191.

Sequence in context: A021289 A200480 A099895 * A323987 A124222 A200615

Adjacent sequences: A248189 A248190 A248191 * A248193 A248194 A248195

Keyword

nonn,cons,easy

Author

Stanislav Sykora, Oct 04 2014

Status

approved