A374750 Decimal expansion of the second smallest univoque Pisot number.

1, 8, 8, 6, 6, 8, 1, 4, 3, 7, 5, 4, 9, 3, 4, 1, 3, 0, 0, 2, 5, 8, 1, 6, 2, 5, 7, 7, 1, 4, 6, 0, 3, 3, 7, 5, 7, 0, 1, 5, 4, 8, 5, 3, 1, 7, 5, 0, 8, 5, 1, 4, 5, 6, 0, 9, 7, 7, 8, 7, 8, 4, 4, 9, 7, 1, 3, 3, 2, 7, 4, 6, 0, 6, 5, 6, 5, 5, 8, 8, 3, 8, 0, 8, 0, 7, 7, 7, 4, 7

Offset: 1

Author

Paolo Xausa, Jul 18 2024

Keywords

• nonn
• cons
• changed

Examples

			1.8866814375493413002581625771460337570154853175...
		

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 12.

Crossrefs

Cf. A127583 (smallest), A374751 (third smallest).

Programs

Mathematica

First[RealDigits[Root[#^12 - 2*#^11 + #^10 - 2*#^9 + #^8 - #^3 + #^2 - # + 1 &, 2], 10, 100]]

Formula

Equals the real root > 1 of x^12 - 2*x^11 + x^10 - 2*x^9 + x^8 - x^3 + x^2 - x + 1.