A374751 Decimal expansion of the third smallest univoque Pisot number.
1, 9, 0, 5, 1, 6, 6, 1, 6, 7, 7, 5, 4, 0, 1, 8, 9, 0, 9, 5, 7, 2, 7, 8, 7, 8, 3, 0, 3, 6, 4, 0, 1, 5, 7, 9, 3, 5, 0, 6, 9, 6, 9, 6, 4, 9, 2, 9, 8, 1, 0, 5, 1, 8, 5, 0, 6, 4, 9, 1, 3, 4, 9, 5, 4, 2, 3, 1, 0, 7, 6, 4, 2, 7, 7, 7, 0, 8, 5, 9, 4, 3, 4, 5, 0, 4, 1, 3, 7, 7
Offset: 1
Examples
1.905166167754018909572787830364015793506969649298...
Links
- Paolo Xausa, Table of n, a(n) for n = 1..10000
- Jean-Paul Allouche, Christiane Frougny, and Kevin G. Hare, On Univoque Pisot Numbers, Mathematics of Computation, Vol. 76, No. 259, July 2007, pp. 1639-1660 (arXiv version).
- Eric Weisstein's World of Mathematics, Pisot Number.
- Wikipedia, Pisot-Vijayaraghavan number.
- Index entries for algebraic numbers, degree 4.
Programs
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Mathematica
First[RealDigits[Root[#^4 - #^3 - 2*#^2 + 1 &, 2], 10, 100]]
Formula
Equals the real root > 1 of x^4 - x^3 - 2*x^2 + 1.
Comments