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A374750
Decimal expansion of the second smallest univoque Pisot number.
3
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
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.
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
KEYWORD
nonn,cons
AUTHOR
Paolo Xausa, Jul 18 2024
STATUS
approved