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A241215
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Decimal expansion of sum_(n>=1) H(n)^4/(n+1)^3 where H(n) is the n-th harmonic number.
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0
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1, 8, 0, 1, 6, 1, 3, 2, 6, 8, 0, 4, 3, 4, 1, 2, 9, 0, 3, 7, 2, 9, 4, 8, 8, 9, 4, 2, 0, 2, 0, 8, 8, 8, 4, 3, 0, 3, 1, 3, 7, 7, 5, 8, 2, 7, 7, 8, 7, 8, 9, 3, 3, 0, 0, 8, 7, 3, 3, 9, 4, 9, 2, 5, 4, 8, 0, 4, 4, 4, 8, 1, 8, 8, 4, 0, 8, 9, 3, 3, 3, 7, 5, 3, 0, 9, 4, 5, 7, 4, 3, 3, 0, 4, 2, 7, 1, 9, 3, 1
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OFFSET
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1,2
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LINKS
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FORMULA
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37/2*zeta(3)*zeta(4) - 5*zeta(2)*zeta(5) - 109/8*zeta(7)
= 37/180*Pi^4*zeta(3) - 5/6*Pi^2*zeta(5) - 109/8*zeta(7)
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EXAMPLE
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1.80161326804341290372948894202088843...
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MATHEMATICA
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37/180*Pi^4*Zeta[3] - 5/6*Pi^2*Zeta[5] - 109/8*Zeta[7] // RealDigits[#, 10, 100]& // First
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CROSSREFS
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Cf. A016627, A083680, A102886, A152648, A152649, A152651, A233033, A233090, A238166, A238167, A239168, A238169, A238181, A238182, A238183, A240264.
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KEYWORD
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AUTHOR
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STATUS
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approved
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