OFFSET
1,4
LINKS
G. C. Greubel, Table of n, a(n) for n = 1..10000
Eric Weisstein's MathWorld, Jacobi Theta Functions
Wikipedia, Theta function
FORMULA
Equals (4*Pi*sqrt(2) + 6*Pi)^(1/4)/(2*Gamma(3/4)).
Equals Sum_{n=-infinity..infinity} exp(-2*Pi*n^2).
EXAMPLE
1.0037348854877390910476795950669538662079943324445194...
MATHEMATICA
RealDigits[(4*Pi*Sqrt[2] + 6*Pi)^(1/4)/(2*Gamma[3/4]), 10, 102] // First
PROG
(PARI) (4*Pi*sqrt(2) + 6*Pi)^(1/4)/(2*gamma(3/4)) \\ Michel Marcus, Nov 26 2014
(Magma) C<i> := ComplexField(); (4*Pi(C)*Sqrt(2) + 6*Pi(C))^(1/4)/(2*Gamma(3/4)) // G. C. Greubel, Jan 07 2018
CROSSREFS
KEYWORD
AUTHOR
Jean-François Alcover, Nov 26 2014
STATUS
approved