A374002 -id:A374002 - cp's OEIS frontend

A293557 Decimal expansion of real root of x^7 - x^6 - x^5 + x^2 - 1.

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

Offset: 1

Iain Fox, Oct 11 2017

This root is also the seventh smallest of the Pisot numbers.

			1.545215649732755243252550...

Iain Fox, Table of n, a(n) for n = 1..20000
Eric Weisstein's World of Mathematics, Pisot Number.
Wikipedia, Pisot-Vijayaraghavan number
Index entries for algebraic numbers, degree 7.

Cf. A060006, A086106, A228777, A092526, A293508, A293509, A374002, A293506, A374003.

First[RealDigits[Root[#^7 - #^6 - #^5 + #^2 - 1 &, 1], 10, 100]] (* Paolo Xausa, Jun 25 2024 *)

solve(x=1, 2, x^7 - x^6 - x^5 + x^2 - 1) \\ Michel Marcus, Oct 13 2017

{ default(realprecision, 20080); x=solve(x=1, 2, x^7 - x^6 - x^5 + x^2 - 1); for (n=1, 20000, d=floor(x); x=(x-d)*10; write("b293557.txt", n, " ", d)); }

A374003 Decimal expansion of the positive real root of x^8 - x^7 - x^6 + x^2 - 1.

Original entry on oeis.org

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

Offset: 1

Paolo Xausa, Jun 25 2024

Tenth smallest Pisot-Vijayaraghavan number.

			1.5736789683935169887742514186293214678127040615079...

Paolo Xausa, Table of n, a(n) for n = 1..10000
Eric Weisstein's World of Mathematics, Pisot Number.
Wikipedia, Pisot-Vijayaraghavan number.
Index entries for algebraic numbers.

Cf. A060006, A086106, A228777, A092526, A293508, A293509, A293557, A374002, A293506.

First[RealDigits[Root[#^8 - #^7 - #^6 + #^2 - 1 &, 2], 10, 100]]

cp's OEIS Frontend

A293557 Decimal expansion of real root of x^7 - x^6 - x^5 + x^2 - 1.

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