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A318524 Decimal expansion of ((32/5)^(1/5)-(27/5)^(1/5))^(1/3). 2
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 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET
0,1
COMMENTS
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).
REFERENCES
S. Ramanujan, Coll. Papers, Chelsea, 1962, page 334, Question 1070
LINKS
EXAMPLE
0.36450184121606803517626067446520737637319536517131414493623272802...
MATHEMATICA
RealDigits[Surd[Surd[32/5, 5]-Surd[27/5, 5], 3], 10, 120][[1]] (* Harvey P. Dale, Oct 08 2018 *)
PROG
(PARI) ((32/5)^(1/5)-(27/5)^(1/5))^(1/3)
CROSSREFS
Sequence in context: A159354 A196500 A023676 * A155530 A249032 A251534
KEYWORD
nonn,cons
AUTHOR
Hugo Pfoertner, Aug 28 2018
STATUS
approved

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Last modified August 22 10:30 EDT 2024. Contains 375369 sequences. (Running on oeis4.)