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 A288231 Coefficients of 1/(Sum_{k>=0} [(k+1)*r](-x)^k), where r = 4^(1/3) and [ ] = floor. 2
 1, 3, 5, 9, 18, 36, 71, 138, 268, 522, 1017, 1981, 3859, 7517, 14642, 28521, 55557, 108223, 210814, 410654, 799931, 1558224, 3035341, 5912689, 11517614, 22435718, 43703622, 85132404, 165833537, 323035186, 629255898, 1225758065, 2387713549, 4651142959 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Conjecture: the sequence is strictly increasing. LINKS FORMULA G.f.:  1/(Sum_{k>=0} [(k+1)*r)](-x)^k), where r = 4^(1/3) and [ ] = floor. MATHEMATICA r = Sqrt[5/2]; u = 1000; (* # initial terms from given series *) v = 100;   (* # coefficients in reciprocal series *) CoefficientList[Series[1/Sum[Floor[r*(k + 1)] (-x)^k, {k, 0, u}], {x, 0, v}], x] CROSSREFS Cf. A078140 (includes guide to related sequences). Sequence in context: A251704 A288230 A289262 * A279592 A288229 A293332 Adjacent sequences:  A288228 A288229 A288230 * A288232 A288233 A288234 KEYWORD nonn,easy AUTHOR Clark Kimberling, Jul 10 2017 STATUS approved

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Last modified July 28 17:15 EDT 2021. Contains 346335 sequences. (Running on oeis4.)