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 A293506 Decimal expansion of real root of x^5 - x^4 - x^2 - 1. 11
 1, 5, 7, 0, 1, 4, 7, 3, 1, 2, 1, 9, 6, 0, 5, 4, 3, 6, 2, 9, 1, 0, 6, 6, 5, 4, 3, 5, 1, 3, 7, 1, 2, 6, 5, 5, 3, 8, 7, 3, 1, 3, 1, 6, 0, 7, 4, 2, 4, 5, 2, 7, 4, 3, 6, 9, 3, 1, 6, 5, 4, 8, 7, 7, 8, 9, 7, 3, 3, 0, 6, 6, 1, 5, 4, 4, 1, 6, 2, 3, 2, 0, 2, 2, 2, 7, 6 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS This root is also the ninth smallest of the Pisot numbers. The ratio of successive terms of A122115 converges to this number. LINKS Iain Fox, Table of n, a(n) for n = 1..20000 Hans Walser, Funktionenfolge [in German] Eric Weisstein's World of Mathematics, Pisot Number Wikipedia, Pisot-Vijayaraghavan number EXAMPLE 1.570147312196054362910665... MATHEMATICA First@ RealDigits[Root[#^5 - #^4 - #^2 - 1 &, 1], 10, 87] (* Michael De Vlieger, Oct 23 2017 *) PROG (PARI) solve(x=1, 2, x^5 - x^4 - x^2 - 1) \\ Michel Marcus, Oct 11 2017 (PARI) { default(realprecision, 20080); x=solve(x=1, 2, x^5 - x^4 - x^2 - 1); for (n=1, 20000, d=floor(x); x=(x-d)*10; write("b293506.txt", n, " ", d)); } CROSSREFS Cf. A060006, A086106, A228777, A092526, A293508, A293509, A293557, A122115, A293560 (inverse). Sequence in context: A134756 A178902 A176713 * A011350 A295823 A161018 Adjacent sequences:  A293503 A293504 A293505 * A293507 A293508 A293509 KEYWORD cons,nonn AUTHOR Iain Fox, Oct 10 2017 EXTENSIONS More terms from Andrey Zabolotskiy, Oct 12 2017 STATUS approved

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Last modified April 6 08:27 EDT 2020. Contains 333268 sequences. (Running on oeis4.)