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

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

Author

Paolo Xausa, Jun 25 2024

Keywords

• nonn
• cons

Comments

Tenth smallest Pisot-Vijayaraghavan number.

Examples

			1.5736789683935169887742514186293214678127040615079...
		

Links

• 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.

Crossrefs

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

Programs

Mathematica

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