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URL: https://oeis.org/A347901

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A347901
Decimal expansion of a constant related to the asymptotics of A005169.
9
5, 7, 6, 1, 4, 8, 7, 6, 9, 1, 4, 2, 7, 5, 6, 6, 0, 2, 2, 9, 7, 8, 6, 8, 5, 7, 3, 7, 1, 9, 9, 3, 8, 7, 8, 2, 3, 5, 4, 7, 2, 4, 6, 6, 3, 1, 1, 8, 9, 7, 4, 4, 6, 8, 6, 8, 5, 1, 5, 6, 5, 3, 4, 3, 1, 9, 4, 6, 8, 2, 2, 9, 3, 7, 4, 9, 9, 2, 4, 0, 2, 0, 0, 3, 9, 0, 7, 4, 2, 2, 0, 9, 9, 3, 2, 9, 5, 5, 0, 8, 5, 0, 0, 9, 6, 6
OFFSET
0,1
REFERENCES
Steven 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]
KEYWORD
nonn,cons
AUTHOR
Vaclav Kotesovec, Sep 18 2021
STATUS
approved