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A279588 Coefficients in the expansion of 1/([r] + [2r]x + [3r]x^2 + ...); [ ] = floor, r = sqrt(3). 1

%I #4 Dec 15 2016 23:46:45

%S 1,-3,4,-3,-1,8,-15,18,-13,-3,29,-57,72,-56,-3,99,-201,256,-204,7,316,

%T -665,864,-711,75,987,-2148,2830,-2373,350,3060,-6813,9062,-7695,1337,

%U 9463,-21405,28636,-24466,4546,29388,-66931,89675,-76646,14298,91775

%N Coefficients in the expansion of 1/([r] + [2r]x + [3r]x^2 + ...); [ ] = floor, r = sqrt(3).

%H Clark Kimberling, <a href="/A279588/b279588.txt">Table of n, a(n) for n = 0..1000</a>

%F G.f.: 1/([r] + [2r]x + [3r]x^2 + ...); [ ] = floor, r = sqrt(3).

%t z = 30; r = Sqrt[3];

%t f[x_] := f[x] = Sum[Floor[r*(k + 1)] x^k, {k, 0, z}]; f[x]

%t CoefficientList[Series[1/f[x], {x, 0, 2*z}], x]

%Y Cf. A022838.

%K sign,easy

%O 0,2

%A _Clark Kimberling_, Dec 15 2016

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Last modified April 25 11:06 EDT 2024. Contains 371967 sequences. (Running on oeis4.)