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%I #21 Dec 07 2021 19:20:04
%S 3,1,2,0,5,0,6,3,6,7,6,0,3,8,8,7,3,2,9,5,4,8,3,1,1,1,3,9,3,2,3,0,5,1,
%T 0,4,9,1,2,8,8,6,4,2,2,9,2,5,2,6,8,3,0,0,3,8,7,9,4,4,5,6,4,4,2,7,4,3,
%U 4,6,2,9,6,2,0,9,2,6,3,8,2,2,9,1,5
%N Decimal expansion of (7*20^(1/3)-19)^(1/6).
%C Ramanujan's question 1076 (i), see Berndt and Rankin in References: Show that (7*20^(1/3)-19)^(1/6) = (5/3)^(1/3)-(2/3)^(1/3).
%D B. C. Berndt and R. A. Rankin, Ramanujan: Essays and Surveys, American Mathematical Society, 2001, ISBN 0-8218-2624-7, page 222 (JIMS 11, page 199).
%D Susan Landau, "Simplification of nested radicals." SIAM Journal on Computing 21.1 (1992): 85-110. See page 85. [Do not confuse this paper with the short FOCS conference paper with the same title, which is only a few pages long.]
%D S. Ramanujan, Coll. Papers, Chelsea, 1962, page 334, Question 1076
%e 0.31205063676038873295483111393230510491288642292526830038794456442743462...
%p evalf((7*20^(1/3)-19)^(1/6)); # _Muniru A Asiru_, Aug 28 2018
%t RealDigits[Surd[7 Surd[20,3]-19,6],10,120][[1]] (* _Harvey P. Dale_, Dec 07 2021 *)
%o (PARI) (7*20^(1/3)-19)^(1/6)
%Y Cf. A317969.
%K nonn,cons
%O 0,1
%A _Hugo Pfoertner_, Aug 28 2018
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