OFFSET
0,1
REFERENCES
S. R. Finch, Mathematical Constants, Cambridge, 2003, p. 381.
LINKS
A. M. Odlyzko and H. S. Wilf, The editor's corner: n coins in a fountain, Amer. Math. Monthly, 95 (1988), 840-843.
FORMULA
Lowest root of the equation Sum_{k>=0} (-1)^k * r^(k^2) / QPochhammer(r, r, k) = 0.
EXAMPLE
0.576148769142756602297868573719938782354724663118974468685156534319...
MATHEMATICA
FindRoot[Sum[(-1)^k*r^(k^2)/QPochhammer[r, r, k], {k, 0, 1000}] == 0, {r, 1/2}, WorkingPrecision -> 120]
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Vaclav Kotesovec, Sep 18 2021
STATUS
approved