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A219300 Decimal expansion of the second smallest known Salem number. 11
1, 1, 8, 8, 3, 6, 8, 1, 4, 7, 5, 0, 8, 2, 2, 3, 5, 8, 8, 1, 4, 2, 9, 6, 0, 9, 5, 8, 6, 2, 9, 5, 9, 3, 5, 9, 4, 7, 0, 4, 7, 0, 4, 5, 6, 0, 0, 6, 2, 9, 0, 5, 6, 8, 8, 7, 4, 1, 4, 5, 3, 3, 7, 1, 2, 9, 1, 9, 6, 0, 6, 4, 1, 4, 0, 2, 1, 7, 4, 5, 8, 9, 4, 7, 5, 8, 3, 5, 0, 9, 8, 8, 0, 6, 7, 9, 6, 7, 7, 4, 5, 0, 8, 8, 8 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET
1,3
COMMENTS
This number is algebraic of degree 18. Sequence A073011 contains the smallest known Salem number.
It is the only root r of the polynomial x^18 - x^17 + x^16 - x^15 - x^12 + x^11 - x^10 + x^9 - x^8 + x^7 - x^6 - x^3 + x^2 - x + 1 with abs(r) > 1. - Joerg Arndt, Nov 18 2012
LINKS
Arkadiusz Wesolowski, Table of n, a(n) for n = 1..10000
M. J. Mossinghoff, Small Salem Numbers
Wikipedia, Salem number
EXAMPLE
1.188368147508223588142960958....
MATHEMATICA
RealDigits[x /. FindRoot[x^18 - x^17 + x^16 - x^15 - x^12 + x^11 - x^10 + x^9 - x^8 + x^7 - x^6 - x^3 + x^2 - x + 1 == 0, {x, 1, 2}, WorkingPrecision -> 200]][[1]]
CROSSREFS
Sequence in context: A199188 A340552 A254291 * A200686 A222066 A303617
KEYWORD
cons,nonn
AUTHOR
STATUS
approved

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Last modified February 25 21:07 EST 2024. Contains 370333 sequences. (Running on oeis4.)