A131265 Decimal expansion of the negative of the first derivative of the Gamma Function at 1/2.

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

Offset: 1

Author

R. J. Mathar, Sep 28 2007

Keywords

• cons
• easy
• nonn

Examples

			3.4802309069132620269385951981443497500324293345037602151543...
		

Links

• G. C. Greubel, Table of n, a(n) for n = 1..10000
• T. Amdeberhan, L. Medina and V. H. Moll, The integrals in Gradshteyn and Ryzhik. Part 5: Some trigonometric integrals, arXiv:0705.2379 [math.CA], 2007, example 3.1.

Crossrefs

Cf. A020759, A002161.

Programs

Mathematica

RealDigits[ Sqrt[Pi]*PolyGamma[0, 1/2], 10, 59] // First (* Jean-François Alcover, Feb 20 2013 *)

PARI

print(sqrt(Pi)*(Euler+2*log(2)));

Formula

Equals A020759 * A002161.