A347901 Decimal expansion of a constant related to the asymptotics of A005169.

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

S. R. Finch, Mathematical Constants, Cambridge, 2003, p. 381.

Links

Table of n, a(n) for n=0..105.

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

Cf. A005169, A168445, A226999, A285636, A285903, A285637, A305840.

Sequence in context: A063005 A329763 A348727 * A145577 A144478 A059249

Adjacent sequences: A347898 A347899 A347900 * A347902 A347903 A347904

Keyword

nonn,cons

Author

Vaclav Kotesovec, Sep 18 2021

Status

approved