A318709 Decimal expansion of the solution to x = sqrt(5 + sqrt(5 - sqrt(5 - sqrt(5 + x)))).
2, 6, 2, 1, 4, 0, 8, 3, 8, 3, 0, 7, 5, 8, 6, 1, 5, 0, 5, 6, 9, 8, 4, 9, 5, 2, 8, 0, 6, 1, 2, 2, 4, 3, 1, 2, 7, 7, 9, 7, 9, 7, 0, 6, 1, 4, 7, 2, 1, 1, 6, 7, 6, 7, 9, 6, 6, 4, 1, 6, 7, 8, 2, 5, 3, 9, 3, 9, 6, 3, 1, 3, 6, 7, 6, 5, 7, 9
Offset: 1
Examples
2.6214083830758615056984952806122431277979706147211676796641678...
Links
- B. C. Berndt, Y. S. Choi, S. Y. Kang, The problems submitted by Ramanujan to the Journal of Indian Math. Soc., in: Continued fractions, Contemporary Math., 236 (1999), 15-56 (see Q722, JIMS VII).
- B. C. Berndt, Y. S. Choi, S. Y. Kang, The problems submitted by Ramanujan to the Journal of Indian Math. Soc., in: Continued fractions, Contemporary Math., 236 (1999), 15-56 (see Q722, JIMS VII).
Crossrefs
Cf. A286984.
Programs
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PARI
solve(x=2,3,x-sqrt(5+sqrt(5-sqrt(5-sqrt(5+x)))))
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PARI
(1/4)*(sqrt(5)-2+sqrt(13-4*sqrt(5))+sqrt(50+12*sqrt(5)-2*sqrt(65-20*sqrt(5))))
Comments