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A269063 Decimal expansion of the second inflexion point of 1/Gamma(x) on the interval x=[0,infinity). 1
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 (list; constant; graph; refs; listen; history; text; internal format)
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 inflexion 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: A227272 A021405 A201946 * A161360 A230242 A104654

Adjacent sequences:  A269060 A269061 A269062 * A269064 A269065 A269066

KEYWORD

nonn,cons

AUTHOR

Iaroslav V. Blagouchine, Feb 18 2016

STATUS

approved

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Last modified October 22 17:08 EDT 2018. Contains 316490 sequences. (Running on oeis4.)