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A288135 Coefficients of 1/(Sum_{k>=0} [(k+1)*r](-x)^k), where r = sqrt[7/3] and [ ] = floor. 1

%I

%S 1,3,5,9,18,36,72,144,288,576,1152,2304,4608,9216,18432,36864,73728,

%T 147456,294911,589818,1179628,2359242,4718457,9436860,18873612,

%U 37747008,75493584,150986304,301970880,603938304,1207869696,2415725568,4831423488,9662791680

%N Coefficients of 1/(Sum_{k>=0} [(k+1)*r](-x)^k), where r = sqrt[7/3] and [ ] = floor.

%C Conjecture: the sequence is strictly increasing.

%F G.f.: 1/(Sum_{k>=0} [(k+1)*r)](-x)^k), where r = sqrt(7/3) and [ ] = floor.

%t r = Sqrt[7/3];

%t u = 1000; (* # initial terms from given series *)

%t v = 100; (* # coefficients in reciprocal series *)

%t CoefficientList[Series[1/Sum[Floor[r*(k + 1)] (-x)^k, {k, 0, u}], {x, 0, v}], x]

%Y Cf. A078140 (includes guide to related sequences).

%K nonn,easy

%O 0,2

%A _Clark Kimberling_, Jul 10 2017

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Last modified October 25 19:28 EDT 2020. Contains 338012 sequences. (Running on oeis4.)