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A123852
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Decimal expansion of cuberoot(1*cuberoot(2*cuberoot(3*...))).
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5
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1, 1, 5, 6, 3, 6, 2, 6, 8, 4, 3, 3, 2, 2, 6, 9, 7, 1, 6, 8, 5, 3, 3, 7, 0, 3, 2, 2, 8, 8, 7, 3, 6, 9, 3, 5, 6, 5, 1, 3, 0, 1, 4, 5, 4, 3, 8, 9, 1, 8, 8, 8, 6, 3, 7, 9, 9, 9, 2, 5, 9, 5, 9, 8, 9, 8, 3, 1, 7, 7, 8, 1, 6, 0, 7, 2, 8, 2, 6, 1, 9, 4, 6, 0, 7, 9, 0, 8, 1, 3, 3, 8, 2, 0, 3, 7, 8, 3, 1, 7
(list; constant; graph; refs; listen; history; internal format)
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OFFSET
| 1,3
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COMMENTS
| Cubic recurrence constant (see A123851): a cubic analog of Somos's quadratic recurrence constant A112302.
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REFERENCES
| S. R. Finch, Mathematical Constants, Cambridge University Press, Cambridge, 2003, p. 446.
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LINKS
| J. Sondow and P. Hadjicostas, The generalized-Euler-constant function gamma(z) and a generalization of Somos's quadratic recurrence constant, J. Math. Anal. Appl. 332 (1) (2007) 292-314
J. Sondow and P. Hadjicostas, The generalized-Euler-constant function gamma(z) and a generalization of Somos's quadratic recurrence constant, arXiv:math/0610499
Kh. Hessami Pilehrood, T. Hessami Pilehrood, Vacca-type series for values of the generalized-Euler-constant function and its derivative, arXiv:0808.0410 [math.NT]
Eric Weisstein's World of Mathematics, Somos's Quadratic Recurrence Constant
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FORMULA
| Product n^(1/3^n), n=1...infty.
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EXAMPLE
| 1.15636268433226971685337032288736935651301454389188863799925959898317781607\
2826194607908133820378317...
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MATHEMATICA
| Take[RealDigits[Product[N[n^3^-n, 200], {n, 400}]][[1]], 100].
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CROSSREFS
| Cf. A052129, A112302, A116603, A123851, A123853, A123854.
Sequence in context: A060296 A114598 A199666 * A153614 A195709 A099038
Adjacent sequences: A123849 A123850 A123851 * A123853 A123854 A123855
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KEYWORD
| cons,easy,nonn
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AUTHOR
| Petros Hadjicostas and Jonathan Sondow (jsondow(AT)alumni.princeton.edu), Oct 15 2006
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EXTENSIONS
| Updated References - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Aug 12 2010
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