The On-Line Encyclopedia of Integer Sequences (OEIS)

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A318526

Decimal expansion of (7*20^(1/3)-19)^(1/6).
(history; published version)

#21 by Harvey P. Dale at Tue Dec 07 19:20:04 EST 2021

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#20 by Harvey P. Dale at Tue Dec 07 19:20:01 EST 2021

MATHEMATICA

RealDigits[Surd[7 Surd[20, 3]-19, 6], 10, 120][[1]] (* Harvey P. Dale, Dec 07 2021 *)

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#19 by R. J. Mathar at Thu Aug 30 04:16:08 EDT 2018

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#18 by R. J. Mathar at Thu Aug 30 04:16:01 EDT 2018

CROSSREFS

Cf. A318527A317969.

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#17 by N. J. A. Sloane at Tue Aug 28 11:46:22 EDT 2018

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#16 by N. J. A. Sloane at Tue Aug 28 11:46:18 EDT 2018

REFERENCES

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.]

S. Ramanujan, Coll. Papers, Chelsea, 1962, page 334, Question 1076

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#15 by Bruno Berselli at Tue Aug 28 07:54:36 EDT 2018

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#14 by Joerg Arndt at Tue Aug 28 06:13:58 EDT 2018

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#13 by Bruno Berselli at Tue Aug 28 05:37:54 EDT 2018

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#12 by Bruno Berselli at Tue Aug 28 05:37:50 EDT 2018

COMMENTS

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).

(7*20^(1/3)-19)^(1/6) = (5/3)^(1/3)-(2/3)^(1/3).