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A318524
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Decimal expansion of ((32/5)^(1/5)-(27/5)^(1/5))^(1/3).
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2
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3, 6, 4, 5, 0, 1, 8, 4, 1, 2, 1, 6, 0, 6, 8, 0, 3, 5, 1, 7, 6, 2, 6, 0, 6, 7, 4, 4, 6, 5, 2, 0, 7, 3, 7, 6, 3, 7, 3, 1, 9, 5, 3, 6, 5, 1, 7, 1, 3, 1, 4, 1, 4, 4, 9, 3, 6, 2, 3, 2, 7, 2, 8, 0, 2, 0, 2, 6, 3, 2, 9, 2, 9, 9, 9, 0, 1, 8, 6, 1, 0, 6, 3, 4, 9
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OFFSET
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0,1
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COMMENTS
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Ramanujan's question 1070 (ii) asks for a proof of the identity
((32/5)^(1/5)-(27/5)^(1/5))^(1/3) = (1/25)^(1/5)+(3/25)^(1/5)-(9/25)^(1/5).
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REFERENCES
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S. Ramanujan, Coll. Papers, Chelsea, 1962, page 334, Question 1070
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LINKS
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EXAMPLE
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0.36450184121606803517626067446520737637319536517131414493623272802...
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MATHEMATICA
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RealDigits[Surd[Surd[32/5, 5]-Surd[27/5, 5], 3], 10, 120][[1]] (* Harvey P. Dale, Oct 08 2018 *)
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PROG
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(PARI) ((32/5)^(1/5)-(27/5)^(1/5))^(1/3)
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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