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

Author

Jean-François Alcover, Jul 22 2015

Keywords

• nonn
• cons
• easy

Examples

			0.1234630887923915231461967296206813199982332247034272337089458617747615925...
		

Links

• Jason Bard, Table of n, a(n) for n = 0..10000
• David H. Bailey and J. M. Borwein, PSLQ: An Algorithm to Discover Integer Relations

Crossrefs

Cf. A244676.

Programs

Mathematica

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

Formula

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