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

1,2

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.

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.

Example

1.8866814375493413002581625771460337570154853175...

Mathematica

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

Crossrefs

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

Sequence in context: A340168 A019704 A140976 * A348372 A253270 A021057

Adjacent sequences: A374746 A374747 A374748 * A374751 A374752 A374753

Keyword

nonn,cons

Author

Paolo Xausa, Jul 18 2024

Status

approved