A244665 Decimal expansion of sum_(n>=1) (H(n,3)/n^3) where H(n,3) = A007408(n)/A007409(n) is the n-th harmonic number of order 3.

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

Offset: 1

Author

Jean-François Alcover, Jul 04 2014

Keywords

• nonn
• cons

Examples

			1.2311419302090416868141015042989541775427764478983711179869214129514580195...
		

Links

• Vincenzo Librandi, Table of n, a(n) for n = 1..1000
• Philippe Flajolet, Bruno Salvy, Euler Sums and Contour Integral Representations, Experimental Mathematics 7:1 (1998) page 23.

Crossrefs

Cf. A002117, A007408, A007409, A244664.

Programs

Mathematica

RealDigits[1/2*Zeta[3]^2 + 1/2*Zeta[6], 10, 103] // First

PARI

zeta(3)^2/2 + Pi^6/1890 \\ Michel Marcus, Jul 04 2014

Formula

zeta(3)^2/2 + Pi^6/1890.