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A241753 Decimal expansion of sum_(n=1..infinity) (H(n)/(n+1))^2, where H(n) is the n-th harmonic number. 0
2, 9, 7, 6, 3, 8, 8, 8, 9, 2, 7, 0, 5, 6, 3, 0, 0, 2, 6, 6, 6, 9, 0, 1, 0, 1, 6, 5, 4, 8, 8, 2, 1, 1, 7, 3, 2, 6, 3, 0, 5, 6, 5, 1, 1, 7, 7, 7, 6, 4, 9, 8, 9, 9, 6, 1, 2, 8, 1, 8, 4, 5, 9, 2, 4, 7, 1, 3, 3, 1, 6, 9, 4, 5, 1, 4, 1, 6, 4, 3, 2, 8, 0, 3, 1, 5, 0, 1, 4, 9, 8, 8, 3, 9, 6, 7, 4, 7, 7, 2 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..100.

David H. Bailey and Jonathan M. Borwein, Experimental Mathematics: Examples, Methods and Implications, Notices of the AMS Volume 52, Number 5, page 506.

FORMULA

1/(2*Pi)*integral_(0..Pi) (Pi-t)^2*log(2*sin(t/2))^2 dt.

11/17*A218505.

11*Pi^4/360. - Vaclav Kotesovec, Apr 28 2014

EXAMPLE

2.97638889270563002666901016548821173263...

MATHEMATICA

RealDigits[11*Pi^4/360, 10, 100] // First

CROSSREFS

Cf. A218505.

Sequence in context: A180310 A268086 A021340 * A157350 A121837 A160439

Adjacent sequences:  A241750 A241751 A241752 * A241754 A241755 A241756

KEYWORD

nonn,cons

AUTHOR

Jean-Fran├žois Alcover, Apr 28 2014

STATUS

approved

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Last modified July 18 07:10 EDT 2019. Contains 325134 sequences. (Running on oeis4.)