OFFSET
2,1
LINKS
Tito Piezas III The Ramanujan pages, see section 22.
Eric Weisstein's MathWorld, Almost Integer
FORMULA
x^24 - e^(Pi*sqrt(163)), where x is the real root of x^3 - 6x^2 + 4x - 2.
EXAMPLE
24.00000000000000105127873861411207506351157289072577264955435...
MATHEMATICA
QP = QPochhammer; r4A[tau_] := With[{q = Exp[2 I Pi tau]}, (1/q) (QP[q^2]^2/(QP[q] QP[q^4]))^24]; RealDigits[r4A[(1/2) Sqrt[-163]] - Exp[Pi Sqrt[163]], 10, 105][[1]]
(* or: *)
x = Root[#^3 - 6#^2 + 4# - 2&, 1]; RealDigits[x^24 - Exp[Pi Sqrt[ 163]], 10, 105][[1]]
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Jean-François Alcover, Mar 13 2016
STATUS
approved