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A114427
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Decimal expansion of the real solution of x^3-x^2-x-4=0.
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0
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2, 2, 4, 1, 8, 9, 6, 5, 6, 3, 0, 3, 4, 4, 7, 9, 8, 5, 5, 7, 8, 9, 4, 9, 2, 5, 0, 2, 6, 6, 9, 4, 9, 8, 5, 0, 3, 2, 4, 5, 6, 7, 6, 8, 4, 3, 1, 6, 6, 4, 9, 5, 6, 6, 2, 3, 5, 8, 8, 6, 5, 0, 1, 4, 0, 4, 2, 3, 9, 2, 2, 7, 4, 5, 7, 7, 4, 5, 6, 8, 8, 7, 7, 0, 5, 9, 0, 4, 6, 8, 4, 5, 0, 7, 4, 7, 8, 1, 4, 5, 6, 9, 5, 6, 1
(list; constant; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| The solution of the equation is twice the value of a lower bound on randomly generated Fibonacci-like sequences.
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REFERENCES
| Eran Makover and Jeffrey McGowan, "An elementary proof that random Fibonacci sequences grow exponentially", www.arXiv.org
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EXAMPLE
| The solution of the equation is 2.2418965630344798557894...
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MATHEMATICA
| RealDigits[1/3 (1+(1/2 (119-3 Sqrt[1545]))^(1/3)+(1/2 (119+3 Sqrt[ 1545]))^(1/3)), 10, 120][[1]] (* From Harvey P. Dale, June 09 2011 *)
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CROSSREFS
| Sequence in context: A173897 A152593 A105478 * A129355 A080963 A033715
Adjacent sequences: A114424 A114425 A114426 * A114428 A114429 A114430
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KEYWORD
| cons,nonn
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AUTHOR
| Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Feb 13 2006
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