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 A205579 a(n) = round(r^n) where r is the smallest Pisot number (real root r=1.3247179.. of x^3-x-1). 2
 1, 1, 2, 2, 3, 4, 5, 7, 9, 13, 17, 22, 29, 39, 51, 68, 90, 119, 158, 209, 277, 367, 486, 644, 853, 1130, 1497, 1983, 2627, 3480, 4610, 6107, 8090, 10717, 14197, 18807, 24914, 33004, 43721, 57918, 76725, 101639, 134643, 178364, 236282, 313007, 414646, 549289, 727653, 963935, 1276942, 1691588, 2240877, 2968530, 3932465 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS Vincenzo Librandi, Table of n, a(n) for n = 0..1000 Eric Weisstein: Pisot Number. FORMULA G.f.: (1+x+x^2+x^9+x^10-x^12)/(1-x^2-x^3). MATHEMATICA CoefficientList[Series[(1+x+x^2+x^9+x^10-x^12)/(1-x^2-x^3), {x, 0, 100}], x] (* Vincenzo Librandi, Aug 19 2012 *) PROG (PARI) default(realprecision, 110); default(format, "g.15"); r=real(polroots(x^3-x-1)[1]) v=vector(66, n, round(r^(n-1)) ) (PARI) Vec((1+x+x^2+x^9+x^10-x^12)/(1-x^2-x^3)+O(x^66)) CROSSREFS Cf. A112639 (definition using floor() instead of round()). Cf. A060006 (decimal expansion of r=1.32471795724475...). Cf. A051016, A051017. Sequence in context: A064324 A173090 A032277 * A089047 A133498 A282949 Adjacent sequences:  A205576 A205577 A205578 * A205580 A205581 A205582 KEYWORD nonn AUTHOR Joerg Arndt, Jan 29 2012 STATUS approved

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Last modified September 20 22:20 EDT 2018. Contains 315247 sequences. (Running on oeis4.)