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A238166 Decimal expansion of sum_(n>=1) H(n,2)/n^4 where H(n,2) = A007406(n)/A007407(n) is the n-th harmonic number of order 2. 5
1, 1, 0, 5, 8, 2, 6, 4, 4, 4, 4, 3, 8, 8, 1, 7, 8, 5, 4, 0, 0, 8, 8, 4, 5, 7, 6, 8, 8, 7, 6, 6, 8, 0, 9, 8, 4, 5, 4, 9, 7, 9, 6, 2, 4, 2, 4, 1, 9, 6, 0, 4, 1, 5, 3, 5, 1, 7, 2, 9, 7, 9, 4, 0, 5, 6, 3, 8, 0, 6, 4, 6, 1, 8, 3, 0, 7, 0, 1, 4, 6, 9, 3, 3, 8, 6, 0, 1, 7, 7, 2, 5, 3, 9, 0, 0, 5, 7, 5, 7 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,4

LINKS

G. C. Greubel, Table of n, a(n) for n = 1..10000

Philippe Flajolet, Bruno Salvy, Euler Sums and Contour Integral Representations, Experimental Mathematics 7:1 (1998) page 16.

FORMULA

Equals zeta(3)^2 - zeta(6)/3.

EXAMPLE

1.1058264444388178540088457688766809845497962424196...

MATHEMATICA

RealDigits[Zeta[3]^2 - 1/3*Zeta[6], 10, 100][[1]]

PROG

(PARI) zeta(3)^2-Pi^6/2835 /* Michel Marcus, Jul 04 2014 */

CROSSREFS

Cf. A007406, A007407, A152648, A152649, A152651, A238167, A238168, A238169.

Sequence in context: A276627 A119420 A134469 * A227417 A260061 A199379

Adjacent sequences:  A238163 A238164 A238165 * A238167 A238168 A238169

KEYWORD

nonn,cons,easy

AUTHOR

Jean-Fran├žois Alcover, Feb 19 2014

STATUS

approved

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Last modified August 8 09:16 EDT 2020. Contains 336293 sequences. (Running on oeis4.)