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A123852 Decimal expansion of cuberoot(1*cuberoot(2*cuberoot(3*...))). 6
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; text; internal format)
OFFSET

1,3

COMMENTS

Cubic recurrence constant (see A123851): a cubic analog of Somos's quadratic recurrence constant A112302.

REFERENCES

S. R. Finch, Mathematical Constants, Cambridge University Press, Cambridge, 2003, p. 446.

LINKS

Table of n, a(n) for n=1..100.

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

FORMULA

Product n^(1/3^n), n=1...infty.

EXAMPLE

1.15636268433226971685337032288736935651301454389188863799925959898317781607\

2826194607908133820378317...

MATHEMATICA

Take[RealDigits[Product[N[n^3^-n, 200], {n, 400}]][[1]], 100].

RealDigits[Exp[-D[PolyLog[n, 1/3], n]/.n->0], 10, 100][[1]] (* Jean-Fran├žois Alcover, Jan 28 2014 *)

CROSSREFS

Cf. A052129, A112302, A116603, A123851, A123853, A123854.

Sequence in context: A114598 A259500 A199666 * A153614 A195709 A257837

Adjacent sequences:  A123849 A123850 A123851 * A123853 A123854 A123855

KEYWORD

cons,easy,nonn

AUTHOR

Petros Hadjicostas and Jonathan Sondow, Oct 15 2006

EXTENSIONS

Updated References - R. J. Mathar, Aug 12 2010

STATUS

approved

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Last modified August 28 00:41 EDT 2015. Contains 261101 sequences.