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A324498
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Decimal expansion of the real solution to x^2*(x-1)^3 = 1.
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1
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1, 7, 0, 1, 6, 0, 6, 8, 8, 7, 1, 8, 1, 1, 7, 0, 8, 3, 3, 6, 9, 2, 2, 1, 6, 4, 6, 0, 8, 5, 5, 4, 2, 8, 8, 2, 2, 6, 9, 4, 6, 4, 7, 5, 4, 4, 9, 2, 8, 5, 7, 3, 5, 8, 4, 8, 5, 7, 7, 8, 2, 4, 2, 6, 3, 7, 6, 0, 3, 4, 5, 9, 3, 5, 9, 0, 7, 9, 1, 5, 8, 8, 7, 1, 0, 7, 0, 4, 8, 7
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OFFSET
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1,2
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COMMENTS
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Asymptotic ratio of consecutive terms in A137402 for n -> infinity.
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REFERENCES
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Donald E. Knuth, The Art of Computer Programming, Vol. 4, fascicle 1, section 7.1.4, p. 207, answer to exercise 126, Addison-Wesley, 2009.
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LINKS
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EXAMPLE
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1.701606887181170833692216460855428822694647544928573584857782426376...
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MATHEMATICA
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RealDigits[Root[x^2 (x-1)^3-1, 1], 10, 120][[1]] (* Harvey P. Dale, Nov 07 2022 *)
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PROG
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(PARI) solve(x=1, 2, x^2*(x-1)^3-1)
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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