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A298815
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Decimal expansion of the greatest real zero of x^8 - 4*x^6 + 6*x^4 - 4*x^2 - x + 1.
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3
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1, 4, 4, 8, 0, 9, 5, 8, 3, 8, 6, 0, 9, 6, 4, 1, 1, 3, 2, 5, 8, 3, 8, 6, 9, 9, 9, 6, 8, 1, 0, 7, 3, 3, 6, 4, 6, 2, 2, 7, 9, 6, 5, 2, 7, 7, 5, 8, 6, 5, 5, 5, 7, 1, 5, 1, 8, 3, 7, 9, 7, 3, 4, 9, 7, 1, 8, 5, 8, 4, 5, 3, 2, 1, 0, 6, 9, 1, 1, 6, 3, 7, 8, 8, 4, 3
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OFFSET
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1,2
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COMMENTS
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Let (d(n)) = (0,0,1,0,0,1,...), s(n) = (s(n-1) + d(n))^(1/2) for n > 0, and s(0) = 1.
Then s(3n) -> 1.096981557798... , as in A230161;
s(3n+1) -> 1.2033685381501..., as in A298814;
s(3n+2) -> 1.44809583860..., as in A298815.
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LINKS
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EXAMPLE
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greatest real zero = 1.4480958386096...
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MATHEMATICA
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r = x /. NSolve[x^8 - 4 x^6 + 6 x^4 - 4 x^2 - x + 1 == 0, x, 10000][[8]];
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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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