A143441 Decimal expansion of the (negated) value of q at which the q-Pochhammer symbol reaches a maximum along [ -1, 1].

4, 1, 1, 2, 4, 8, 4, 7, 9, 1, 7, 7, 9, 5, 4, 7, 7, 3, 4, 4, 4, 0, 2, 5, 6, 6, 2, 4, 3, 5, 5, 7, 2, 4, 3, 6, 9, 7, 2, 0, 4, 0, 5, 0, 3, 6, 3, 3, 6, 0, 1, 1, 0, 5, 5, 7, 0, 2, 1, 1, 0, 1, 7, 8, 3, 6, 4, 4, 2, 9, 1, 3, 4, 5, 3, 3, 8, 1, 4, 4, 7, 1, 5, 0, 7, 7, 2, 0, 9, 5, 0, 6, 3, 3, 3, 9, 2, 4, 1, 8, 5, 6, 7, 3, 1

Offset: 0

Author

Eric W. Weisstein, Aug 14 2008

Keywords

• nonn
• cons

Examples

			-0.41124847917795477344...
		

Links

• G. C. Greubel, Table of n, a(n) for n = 0..1000
• Eric Weisstein's World of Mathematics, q-Pochhammer Symbol

Crossrefs

Cf. A143440, A242168, A258232, A002039.

Programs

Mathematica

q0 = q /. FindRoot[ QPochhammer'[q] == 0, {q, -1/2}, WorkingPrecision -> 300]; RealDigits[q0, 10, 105] // First (* Jean-François Alcover, Dec 05 2013 *)

Formula

Equals -1/lim_{n->infinity} A002039(n)^(1/n). - Vaclav Kotesovec, Jun 02 2018