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 A318524 Decimal expansion of ((32/5)^(1/5)-(27/5)^(1/5))^(1/3). 2

%I

%S 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,

%T 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,

%U 3,2,9,2,9,9,9,0,1,8,6,1,0,6,3,4,9

%N Decimal expansion of ((32/5)^(1/5)-(27/5)^(1/5))^(1/3).

%C Ramanujan's question 1070 (ii) asks for a proof of the identity

%C ((32/5)^(1/5)-(27/5)^(1/5))^(1/3) = (1/25)^(1/5)+(3/25)^(1/5)-(9/25)^(1/5).

%D S. Ramanujan, Coll. Papers, Chelsea, 1962, page 334, Question 1070

%e 0.36450184121606803517626067446520737637319536517131414493623272802...

%t RealDigits[Surd[Surd[32/5,5]-Surd[27/5,5],3],10,120][[1]] (* _Harvey P. Dale_, Oct 08 2018 *)

%o (PARI) ((32/5)^(1/5)-(27/5)^(1/5))^(1/3)

%Y Cf. A318523, A318525.

%K nonn,cons

%O 0,1

%A _Hugo Pfoertner_, Aug 28 2018

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Last modified December 11 23:44 EST 2019. Contains 329945 sequences. (Running on oeis4.)