A269063 Decimal expansion of the second inflection point of 1/Gamma(x) on the interval x=[0,infinity).

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

Offset

1,1

Comments

Also the second positive root of the equation Psi(x)^2-Psi(1,x)=0.

Function 1/Gamma(x) has only two inflection points on the interval x=[0,infinity): 0.30214172... (A268464) and 2.4956029... (this sequence).

Links

Table of n, a(n) for n=1..103.

Example

2.4956029635171933815428456493853820634653641719500480...

Maple

Digits:= 150: fsolve(Psi(x)^2-Psi(1, x)=0, x=2.5);

Mathematica

FindRoot[PolyGamma[x]^2-PolyGamma[1, x]==0, {x, 2.5}, WorkingPrecision -> 120][[1, 2]] // RealDigits[#, 10, 103]& // First

Crossrefs

Cf. A268464, A268895, A268911.

Sequence in context: A201946 A341352 A301514 * A161360 A230242 A104654

Adjacent sequences: A269060 A269061 A269062 * A269064 A269065 A269066

Keyword

nonn,cons

Author

Iaroslav V. Blagouchine, Feb 18 2016

Status

approved