A260272 Decimal expansion of Sum_{n>=1} H(n)^2/(n+1)^4, where H(n) is the n-th harmonic number.

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

Offset

0,2

Links

Table of n, a(n) for n=0..104.

David H. Bailey and J. M. Borwein, PSLQ: An Algorithm to Discover Integer Relations

Formula

(37/22680)*Pi^6 - zeta(3)^2.

Example

0.1234630887923915231461967296206813199982332247034272337089458617747615925...

Mathematica

RealDigits[(37/22680)*Pi^6 - Zeta[3]^2, 10, 105] // First

Crossrefs

Cf. A244676.

Sequence in context: A280244 A203138 A249900 * A321479 A128332 A074103

Adjacent sequences: A260269 A260270 A260271 * A260273 A260274 A260275

Keyword

nonn,cons,easy

Author

Jean-François Alcover, Jul 22 2015

Status

approved