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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
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 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,2

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.

FORMULA

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

EXAMPLE

1.2311419302090416868141015042989541775427764478983711179869214129514580195...

MATHEMATICA

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

PROG

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

CROSSREFS

Cf. A002117, A007408, A007409, A244664.

Sequence in context: A071947 A139343 A059247 * A194518 A023572 A023570

Adjacent sequences:  A244662 A244663 A244664 * A244666 A244667 A244668

KEYWORD

nonn,cons

AUTHOR

Jean-Fran├žois Alcover, Jul 04 2014

STATUS

approved

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Last modified September 17 19:02 EDT 2019. Contains 327137 sequences. (Running on oeis4.)